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34077004434 = 23211172106083
BaseRepresentation
bin11111101111001001…
…011101001010010010
310020221212220012001100
4133233021131022102
51024242203120214
623353232245230
72314313521104
oct375711351222
9106855805040
1034077004434
11134a7642890
1267303a0816
1332a0c38565
141913ac5574
15d46a10309
hex7ef25d292

34077004434 has 24 divisors (see below), whose sum is σ = 80545647312. Its totient is φ = 10326364920.

The previous prime is 34077004433. The next prime is 34077004463. The reversal of 34077004434 is 43440077043.

It is a super-2 number, since 2×340770044342 (a number of 22 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (34077004433) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 86052844 + ... + 86053239.

It is an arithmetic number, because the mean of its divisors is an integer number (3356068638).

Almost surely, 234077004434 is an apocalyptic number.

34077004434 is an abundant number, since it is smaller than the sum of its proper divisors (46468642878).

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

34077004434 is a wasteful number, since it uses less digits than its factorization.

34077004434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172106102 (or 172106099 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 36.

The spelling of 34077004434 in words is "thirty-four billion, seventy-seven million, four thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 172106083 344212166 516318249 1032636498 1548954747 1893166913 3097909494 3786333826 5679500739 11359001478 17038502217 34077004434