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34697939744 = 2513397210097
BaseRepresentation
bin100000010100001010…
…001000101100100000
310022120011021222011102
4200110022020230200
51032030133032434
623535013133532
72335563423116
oct402412105440
9108504258142
1034697939744
111379609a766
12688432a2a8
13336c7841c0
14197235bab6
15d812b607e
hex814288b20

34697939744 has 48 divisors (see below), whose sum is σ = 73751961528. Its totient is φ = 15974019072.

The previous prime is 34697939737. The next prime is 34697939747. The reversal of 34697939744 is 44793979643.

It can be written as a sum of positive squares in 4 ways, for example, as 27975907600 + 6722032144 = 167260^2 + 81988^2 .

It is not an unprimeable number, because it can be changed into a prime (34697939747) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60104 + ... + 270200.

Almost surely, 234697939744 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 34697939744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36875980764).

34697939744 is an abundant number, since it is smaller than the sum of its proper divisors (39054021784).

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

34697939744 is a wasteful number, since it uses less digits than its factorization.

34697939744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210517 (or 210509 counting only the distinct ones).

The product of its digits is 123451776, while the sum is 65.

The spelling of 34697939744 in words is "thirty-four billion, six hundred ninety-seven million, nine hundred thirty-nine thousand, seven hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 397 416 794 1588 3176 5161 6352 10322 12704 20644 41288 82576 165152 210097 420194 840388 1680776 2731261 3361552 5462522 6723104 10925044 21850088 43700176 83408509 87400352 166817018 333634036 667268072 1084310617 1334536144 2168621234 2669072288 4337242468 8674484936 17348969872 34697939744