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34044064 = 251762581
BaseRepresentation
bin1000000111011…
…1100010100000
32101001121200021
42001313202200
532203402224
63213403224
7562240555
oct201674240
971047607
1034044064
111824289a
12b499514
13708c922
144742a2c
152ec71e4
hex20778a0

34044064 has 24 divisors (see below), whose sum is σ = 70967988. Its totient is φ = 16020480.

The previous prime is 34043987. The next prime is 34044091. The reversal of 34044064 is 46044043.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 26091664 + 7952400 = 5108^2 + 2820^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 30747 + ... + 31834.

Almost surely, 234044064 is an apocalyptic number.

34044064 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

34044064 is an abundant number, since it is smaller than the sum of its proper divisors (36923924).

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

34044064 is a wasteful number, since it uses less digits than its factorization.

34044064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62608 (or 62600 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

The square root of 34044064 is about 5834.7291282458. The cubic root of 34044064 is about 324.1010709421.

The spelling of 34044064 in words is "thirty-four million, forty-four thousand, sixty-four", and thus it is an eban number.

Divisors: 1 2 4 8 16 17 32 34 68 136 272 544 62581 125162 250324 500648 1001296 1063877 2002592 2127754 4255508 8511016 17022032 34044064