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64400004 = 22323075827
BaseRepresentation
bin1111010110101…
…0101010000100
311111011212012100
43311222222010
5112441300004
610220152100
71411251054
oct365525204
9144155170
1064400004
1133396749
1219698630
131045a916
1487a5564
1559c1739
hex3d6aa84

64400004 has 36 divisors (see below), whose sum is σ = 163347184. Its totient is φ = 21393072.

The previous prime is 64399999. The next prime is 64400009. The reversal of 64400004 is 40000446.

64400004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (64399999) and next prime (64400009).

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

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

It is a self number, because there is not a number n which added to its sum of digits gives 64400004.

It is not an unprimeable number, because it can be changed into a prime (64400009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8139 + ... + 13965.

Almost surely, 264400004 is an apocalyptic number.

It is an amenable number.

64400004 is an abundant number, since it is smaller than the sum of its proper divisors (98947180).

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

64400004 is a wasteful number, since it uses less digits than its factorization.

64400004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6144 (or 6139 counting only the distinct ones).

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

The square root of 64400004 is about 8024.9613083179. The cubic root of 64400004 is about 400.8316115242.

The spelling of 64400004 in words is "sixty-four million, four hundred thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 307 614 921 1228 1842 2763 3684 5526 5827 11052 11654 17481 23308 34962 52443 69924 104886 209772 1788889 3577778 5366667 7155556 10733334 16100001 21466668 32200002 64400004