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34045632 = 263259107
BaseRepresentation
bin1000000111011…
…1111011000000
32101001200211100
42001313323000
532203430012
63213414400
7562245255
oct201677300
971050740
1034045632
1118243a95
12b49a400
13709055a
14474342c
152ec78dc
hex2077ec0

34045632 has 42 divisors (see below), whose sum is σ = 97587308. Its totient is φ = 11348352.

The previous prime is 34045631. The next prime is 34045643. The reversal of 34045632 is 23654043.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 34045596 and 34045605.

It is not an unprimeable number, because it can be changed into a prime (34045631) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 28978 + ... + 30129.

Almost surely, 234045632 is an apocalyptic number.

34045632 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

34045632 is an abundant number, since it is smaller than the sum of its proper divisors (63541676).

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

34045632 is a wasteful number, since it uses less digits than its factorization.

34045632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59125 (or 59112 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 34045632 is about 5834.8634945472. The cubic root of 34045632 is about 324.1060466767.

Adding to 34045632 its reverse (23654043), we get a palindrome (57699675).

The spelling of 34045632 in words is "thirty-four million, forty-five thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 59107 118214 177321 236428 354642 472856 531963 709284 945712 1063926 1418568 1891424 2127852 2837136 3782848 4255704 5674272 8511408 11348544 17022816 34045632