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77374368 = 2532268661
BaseRepresentation
bin1001001110010…
…10001110100000
312101121000200100
410213022032200
5124301434433
611402222400
71626446151
oct447121640
9171530610
1077374368
113a748565
1221ab4a00
1313051266
14a3c1928
156bd5b13
hex49ca3a0

77374368 has 36 divisors (see below), whose sum is σ = 220034178. Its totient is φ = 25791360.

The previous prime is 77374351. The next prime is 77374387. The reversal of 77374368 is 86347377.

It can be written as a sum of positive squares in only one way, i.e., 62536464 + 14837904 = 7908^2 + 3852^2 .

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

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 134043 + ... + 134618.

Almost surely, 277374368 is an apocalyptic number.

It is an amenable number.

77374368 is an abundant number, since it is smaller than the sum of its proper divisors (142659810).

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

77374368 is a wasteful number, since it uses less digits than its factorization.

77374368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268677 (or 268666 counting only the distinct ones).

The product of its digits is 592704, while the sum is 45.

The square root of 77374368 is about 8796.2701186355. The cubic root of 77374368 is about 426.1204446840.

The spelling of 77374368 in words is "seventy-seven million, three hundred seventy-four thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 268661 537322 805983 1074644 1611966 2149288 2417949 3223932 4298576 4835898 6447864 8597152 9671796 12895728 19343592 25791456 38687184 77374368