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34716798272 = 261341726921
BaseRepresentation
bin100000010101010010…
…000100110101000000
310022121110210002012102
4200111102010311000
51032100000021042
623540525245532
72336212626212
oct402522046500
9108543702172
1034716798272
11137a5800422
12688a7038a8
133373657bb0
141974a6a5b2
15d82c8db32
hex815484d40

34716798272 has 28 divisors (see below), whose sum is σ = 74190467316. Its totient is φ = 16023137280.

The previous prime is 34716798269. The next prime is 34716798371. The reversal of 34716798272 is 27289761743.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 15056271616 + 19660526656 = 122704^2 + 140216^2 .

It is a super-3 number, since 3×347167982723 (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 20862629 + ... + 20864292.

It is an arithmetic number, because the mean of its divisors is an integer number (2649659547).

Almost surely, 234716798272 is an apocalyptic number.

34716798272 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

34716798272 is an abundant number, since it is smaller than the sum of its proper divisors (39473669044).

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

34716798272 is a wasteful number, since it uses less digits than its factorization.

34716798272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41726946 (or 41726936 counting only the distinct ones).

The product of its digits is 7112448, while the sum is 56.

The spelling of 34716798272 in words is "thirty-four billion, seven hundred sixteen million, seven hundred ninety-eight thousand, two hundred seventy-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 416 832 41726921 83453842 166907684 333815368 542449973 667630736 1084899946 1335261472 2169799892 2670522944 4339599784 8679199568 17358399136 34716798272