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34295016 = 2337204137
BaseRepresentation
bin1000001011010…
…0110011101000
32101112100220210
42002310303220
532234420031
63223021120
7564334320
oct202646350
971470823
1034295016
11183a4398
12b59a7a0
137149c12
1447aa280
153026746
hex20b4ce8

34295016 has 32 divisors (see below), whose sum is σ = 97986240. Its totient is φ = 9798528.

The previous prime is 34295011. The next prime is 34295017. The reversal of 34295016 is 61059243.

It is a super-2 number, since 2×342950162 = 2352296244880512, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (34295011) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 101901 + ... + 102236.

It is an arithmetic number, because the mean of its divisors is an integer number (3062070).

Almost surely, 234295016 is an apocalyptic number.

It is an amenable number.

34295016 is an abundant number, since it is smaller than the sum of its proper divisors (63691224).

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

34295016 is a wasteful number, since it uses less digits than its factorization.

34295016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204153 (or 204149 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 34295016 is about 5856.1946688955. The cubic root of 34295016 is about 324.8954803942.

The spelling of 34295016 in words is "thirty-four million, two hundred ninety-five thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 204137 408274 612411 816548 1224822 1428959 1633096 2449644 2857918 4286877 4899288 5715836 8573754 11431672 17147508 34295016