Search a number
-
+
340034231424 = 27319173326893
BaseRepresentation
bin1001111001010111001…
…11101001110010000000
31012111200120101200221010
410330223213221302000
521032342230401144
6420113133400520
733365236164246
oct4745347516200
91174616350833
10340034231424
11121231505978
1255a98939140
13260b0008144
141265a0a0796
158ca21a85b9
hex4f2b9e9c80

340034231424 has 128 divisors (see below), whose sum is σ = 951337598400. Its totient is φ = 107313278976.

The previous prime is 340034231423. The next prime is 340034231507. The reversal of 340034231424 is 424132430043.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×3400342314242 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 340034231391 and 340034231400.

It is not an unprimeable number, because it can be changed into a prime (340034231423) 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 15 ways as a sum of consecutive naturals, for example, 12630522 + ... + 12657414.

Almost surely, 2340034231424 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 340034231424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475668799200).

340034231424 is an abundant number, since it is smaller than the sum of its proper divisors (611303366976).

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

340034231424 is a wasteful number, since it uses less digits than its factorization.

340034231424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28662 (or 28650 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 340034231424 its reverse (424132430043), we get a palindrome (764166661467).

The spelling of 340034231424 in words is "three hundred forty billion, thirty-four million, two hundred thirty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 304 384 456 608 912 1216 1733 1824 2432 3466 3648 5199 6932 7296 10398 13864 20796 26893 27728 32927 41592 53786 55456 65854 80679 83184 98781 107572 110912 131708 161358 166368 197562 215144 221824 263416 322716 332736 395124 430288 510967 526832 645432 665472 790248 860576 1021934 1053664 1290864 1532901 1580496 1721152 2043868 2107328 2581728 3065802 3160992 3442304 4087736 4214656 5163456 6131604 6321984 8175472 10326912 12263208 12643968 16350944 24526416 32701888 46605569 49052832 65403776 93211138 98105664 139816707 186422276 196211328 279633414 372844552 559266828 745689104 885505811 1118533656 1491378208 1771011622 2237067312 2656517433 2982756416 3542023244 4474134624 5313034866 5965512832 7084046488 8948269248 10626069732 14168092976 17896538496 21252139464 28336185952 42504278928 56672371904 85008557856 113344743808 170017115712 340034231424