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340402002043240 = 23559738323805601
BaseRepresentation
bin100110101100110000000010…
…0011010011010000101101000
31122122021010001210122022012001
41031121200010122122011220
5324104121300010340430
63203550304303300344
7131462142640526434
oct11531400432320550
91578233053568161
10340402002043240
119950a750989685
12322182318aa6b4
13117c2a0401bc87
14600b78ad419c4
152954985adc3ca
hex135980469a168

340402002043240 has 128 divisors (see below), whose sum is σ = 799068358972800. Its totient is φ = 130428787507200.

The previous prime is 340402002043219. The next prime is 340402002043241. The reversal of 340402002043240 is 42340200204043.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 340402002043199 and 340402002043208.

It is not an unprimeable number, because it can be changed into a prime (340402002043241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2396440 + ... + 26202040.

It is an arithmetic number, because the mean of its divisors is an integer number (6242721554475).

Almost surely, 2340402002043240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 340402002043240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399534179486400).

340402002043240 is an abundant number, since it is smaller than the sum of its proper divisors (458666356929560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

340402002043240 is a wasteful number, since it uses less digits than its factorization.

340402002043240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23805827 (or 23805823 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 28.

Adding to 340402002043240 its reverse (42340200204043), we get a palindrome (382742202247283).

The spelling of 340402002043240 in words is "three hundred forty trillion, four hundred two billion, two million, forty-three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 40 59 73 83 118 146 166 236 292 295 332 365 415 472 584 590 664 730 830 1180 1460 1660 2360 2920 3320 4307 4897 6059 8614 9794 12118 17228 19588 21535 24236 24485 30295 34456 39176 43070 48472 48970 60590 86140 97940 121180 172280 195880 242360 357481 714962 1429924 1787405 2859848 3574810 7149620 14299240 23805601 47611202 95222404 119028005 190444808 238056010 476112020 952224040 1404530459 1737808873 1975864883 2809060918 3475617746 3951729766 5618121836 6951235492 7022652295 7903459532 8689044365 9879324415 11236243672 13902470984 14045304590 15806919064 17378088730 19758648830 28090609180 34756177460 39517297660 56181218360 69512354920 79034595320 102530723507 116576028097 144238136459 205061447014 233152056194 288476272918 410122894028 466304112388 512653617535 576952545836 582880140485 721190682295 820245788056 932608224776 1025307235070 1153905091672 1165760280970 1442381364590 2050614470140 2331520561940 2884762729180 4101228940280 4663041123880 5769525458360 8510050051081 17020100102162 34040200204324 42550250255405 68080400408648 85100500510810 170201001021620 340402002043240