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34260032 = 261731489
BaseRepresentation
bin1000001010110…
…0010001000000
32101110120221002
42002230101000
532232310112
63222151132
7564130322
oct202542100
971416832
1034260032
1118380084
12b5824a8
137137011
14479b612
15301b1c2
hex20ac440

34260032 has 28 divisors (see below), whose sum is σ = 71986140. Its totient is φ = 16121856.

The previous prime is 34260019. The next prime is 34260067. The reversal of 34260032 is 23006243.

It can be written as a sum of positive squares in 2 ways, for example, as 23658496 + 10601536 = 4864^2 + 3256^2 .

It is a junction number, because it is equal to n+sod(n) for n = 34259986 and 34260013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14657 + ... + 16832.

Almost surely, 234260032 is an apocalyptic number.

34260032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

34260032 is an abundant number, since it is smaller than the sum of its proper divisors (37726108).

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

34260032 is a wasteful number, since it uses less digits than its factorization.

34260032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31518 (or 31508 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 34260032 is about 5853.2069842096. The cubic root of 34260032 is about 324.7849686072.

Adding to 34260032 its reverse (23006243), we get a palindrome (57266275).

The spelling of 34260032 in words is "thirty-four million, two hundred sixty thousand, thirty-two".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 272 544 1088 31489 62978 125956 251912 503824 535313 1007648 1070626 2015296 2141252 4282504 8565008 17130016 34260032