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77230368 = 253389387
BaseRepresentation
bin1001001101001…
…11000100100000
312101022201011000
410212213010200
5124232332433
611355152000
71625306265
oct446470440
9171281130
1077230368
113a65a356
1221a45600
1313000857
14a38526c
156ba8113
hex49a7120

77230368 has 48 divisors (see below), whose sum is σ = 225257760. Its totient is φ = 25743168.

The previous prime is 77230367. The next prime is 77230369. The reversal of 77230368 is 86303277.

It is an interprime number because it is at equal distance from previous prime (77230367) and next prime (77230369).

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (77230367) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43830 + ... + 45557.

It is an arithmetic number, because the mean of its divisors is an integer number (4692870).

Almost surely, 277230368 is an apocalyptic number.

It is an amenable number.

77230368 is an abundant number, since it is smaller than the sum of its proper divisors (148027392).

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

77230368 is a wasteful number, since it uses less digits than its factorization.

77230368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89406 (or 89392 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 77230368 is about 8788.0810191987. The cubic root of 77230368 is about 425.8559322398.

The spelling of 77230368 in words is "seventy-seven million, two hundred thirty thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 89387 178774 268161 357548 536322 715096 804483 1072644 1430192 1608966 2145288 2413449 2860384 3217932 4290576 4826898 6435864 8581152 9653796 12871728 19307592 25743456 38615184 77230368