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4064004 = 2232716127
BaseRepresentation
bin1111100000001100000100
321122110202200
433200030010
52020022004
6223034500
746354260
oct17401404
97573680
104064004
11232638a
12143ba30
13ac3a49
1477b0a0
15554239
hex3e0304

4064004 has 36 divisors (see below), whose sum is σ = 11741184. Its totient is φ = 1161072.

The previous prime is 4063991. The next prime is 4064023. The reversal of 4064004 is 4004604.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×40640042 = 33032257024032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7812 + ... + 8315.

It is an arithmetic number, because the mean of its divisors is an integer number (326144).

Almost surely, 24064004 is an apocalyptic number.

It is an amenable number.

4064004 is an abundant number, since it is smaller than the sum of its proper divisors (7677180).

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

4064004 is a wasteful number, since it uses less digits than its factorization.

4064004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16144 (or 16139 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 4064004 is about 2015.9374990312. The cubic root of 4064004 is about 159.5822958861.

Adding to 4064004 its reverse (4004604), we get a palindrome (8068608).

The spelling of 4064004 in words is "four million, sixty-four thousand, four", and thus it is an eban number.

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 16127 32254 48381 64508 96762 112889 145143 193524 225778 290286 338667 451556 580572 677334 1016001 1354668 2032002 4064004