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34460165344 = 251197898197
BaseRepresentation
bin100000000101111111…
…000110010011100000
310021221120212210000011
4200011333012103200
51031033300242334
623455240534304
72326645400233
oct400577062340
9107846783004
1034460165344
11136839572a0
126818781394
1333324323a7
14194c94541a
15d6a499564
hex805fc64e0

34460165344 has 24 divisors (see below), whose sum is σ = 74011037688. Its totient is φ = 15663711360.

The previous prime is 34460165321. The next prime is 34460165353. The reversal of 34460165344 is 44356106443.

It is a junction number, because it is equal to n+sod(n) for n = 34460165297 and 34460165306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 48948747 + ... + 48949450.

It is an arithmetic number, because the mean of its divisors is an integer number (3083793237).

Almost surely, 234460165344 is an apocalyptic number.

It is an amenable number.

34460165344 is an abundant number, since it is smaller than the sum of its proper divisors (39550872344).

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

34460165344 is a wasteful number, since it uses less digits than its factorization.

34460165344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97898218 (or 97898210 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 40.

The spelling of 34460165344 in words is "thirty-four billion, four hundred sixty million, one hundred sixty-five thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 97898197 195796394 391592788 783185576 1076880167 1566371152 2153760334 3132742304 4307520668 8615041336 17230082672 34460165344