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34440396688 = 2473157293641
BaseRepresentation
bin100000000100110011…
…101011111110010000
310021220012200102111201
4200010303223332100
51031013220143223
623453253120544
72326315353535
oct400463537620
9107805612451
1034440396688
1113673784865
126812029154
13332b300369
14194a07ad8c
15d68891ead
hex804cebf90

34440396688 has 80 divisors (see below), whose sum is σ = 68412090096. Its totient is φ = 16792289280.

The previous prime is 34440396671. The next prime is 34440396701. The reversal of 34440396688 is 88669304443.

It can be written as a sum of positive squares in 8 ways, for example, as 6166646784 + 28273749904 = 78528^2 + 168148^2 .

It is a super-2 number, since 2×344403966882 (a number of 22 digits) contains 22 as substring.

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, 53728848 + ... + 53729488.

Almost surely, 234440396688 is an apocalyptic number.

It is an amenable number.

34440396688 is a deficient number, since it is larger than the sum of its proper divisors (33971693408).

34440396688 is a wasteful number, since it uses less digits than its factorization.

34440396688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1172 (or 1166 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 55.

The spelling of 34440396688 in words is "thirty-four billion, four hundred forty million, three hundred ninety-six thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 16 73 146 157 292 293 314 584 586 628 641 1168 1172 1256 1282 2344 2512 2564 4688 5128 10256 11461 21389 22922 42778 45844 46001 46793 85556 91688 92002 93586 100637 171112 183376 184004 187172 187813 201274 342224 368008 374344 375626 402548 736016 748688 751252 805096 1502504 1610192 3005008 3358073 6716146 7346501 13432292 13710349 14693002 26864584 27420698 29386004 29486641 53729168 54841396 58772008 58973282 109682792 117544016 117946564 219365584 235893128 471786256 2152524793 4305049586 8610099172 17220198344 34440396688