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344161056 = 25317227929
BaseRepresentation
bin10100100000110…
…111101100100000
3212222121012012210
4110200313230200
51201101123211
654052322120
711346215001
oct2440675440
9788535183
10344161056
111672a7328
1297313340
13563c05c5
14339cb1a8
15203339a6
hex14837b20

344161056 has 96 divisors (see below), whose sum is σ = 961813440. Its totient is φ = 107380736.

The previous prime is 344161043. The next prime is 344161063. The reversal of 344161056 is 650161443.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 370000 + ... + 370928.

It is an arithmetic number, because the mean of its divisors is an integer number (10018890).

Almost surely, 2344161056 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 344161056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480906720).

344161056 is an abundant number, since it is smaller than the sum of its proper divisors (617652384).

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

344161056 is a wasteful number, since it uses less digits than its factorization.

344161056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1186 (or 1178 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 344161056 is about 18551.5782617005. The cubic root of 344161056 is about 700.7889444890.

The spelling of 344161056 in words is "three hundred forty-four million, one hundred sixty-one thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 227 272 408 454 544 681 816 908 929 1362 1632 1816 1858 2724 2787 3632 3716 3859 5448 5574 7264 7432 7718 10896 11148 11577 14864 15436 15793 21792 22296 23154 29728 30872 31586 44592 46308 47379 61744 63172 89184 92616 94758 123488 126344 185232 189516 210883 252688 370464 379032 421766 505376 632649 758064 843532 1265298 1516128 1687064 2530596 3374128 3585011 5061192 6748256 7170022 10122384 10755033 14340044 20244768 21510066 28680088 43020132 57360176 86040264 114720352 172080528 344161056