Search a number
-
+
4342001430 = 23513372391259
BaseRepresentation
bin1000000101100110…
…11010111100010110
3102012121020112012210
410002303122330112
532343023021210
61554504054250
7212412255204
oct40263327426
912177215183
104342001430
111928a45a38
12a12164386
13542737020
142d293c074
151a62cde20
hex102cdaf16

4342001430 has 128 divisors (see below), whose sum is σ = 11583129600. Its totient is φ = 1034740224.

The previous prime is 4342001371. The next prime is 4342001431. The reversal of 4342001430 is 341002434.

It is a junction number, because it is equal to n+sod(n) for n = 4342001397 and 4342001406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4342001431) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3448141 + ... + 3449399.

It is an arithmetic number, because the mean of its divisors is an integer number (90493200).

Almost surely, 24342001430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4342001430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5791564800).

4342001430 is an abundant number, since it is smaller than the sum of its proper divisors (7241128170).

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

4342001430 is a wasteful number, since it uses less digits than its factorization.

4342001430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1558.

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 4342001430 is about 65893.8648889257. The cubic root of 4342001430 is about 1631.4107537589.

Adding to 4342001430 its reverse (341002434), we get a palindrome (4683003864).

The spelling of 4342001430 in words is "four billion, three hundred forty-two million, one thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 37 39 65 74 78 111 130 185 195 222 239 370 390 478 481 555 717 962 1110 1195 1259 1434 1443 2390 2405 2518 2886 3107 3585 3777 4810 6214 6295 7170 7215 7554 8843 9321 12590 14430 15535 16367 17686 18642 18885 26529 31070 32734 37770 44215 46583 46605 49101 53058 81835 88430 93166 93210 98202 114959 132645 139749 163670 229918 232915 245505 265290 279498 300901 344877 465830 491010 574795 601802 605579 689754 698745 902703 1149590 1211158 1397490 1504505 1724385 1805406 1816737 3009010 3027895 3448770 3633474 3911713 4513515 6055790 7823426 9027030 9083685 11133337 11735139 18167370 19558565 22266674 23470278 33400011 39117130 55666685 58675695 66800022 111333370 117351390 144733381 167000055 289466762 334000110 434200143 723666905 868400286 1447333810 2171000715 4342001430