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385761664 = 277514013
BaseRepresentation
bin10110111111100…
…100000110000000
3222212212201112001
4112333210012000
51242223333124
6102140113344
712362630401
oct2677440600
9885781461
10385761664
111888304a2
12a9235854
1361bc7852
14393399a8
1523ceeb44
hex16fe4180

385761664 has 32 divisors (see below), whose sum is σ = 769724640. Its totient is φ = 192576000.

The previous prime is 385761653. The next prime is 385761697. The reversal of 385761664 is 466167583.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×3857616642 = 297624122824097792, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 94122 + ... + 98134.

It is an arithmetic number, because the mean of its divisors is an integer number (24053895).

Almost surely, 2385761664 is an apocalyptic number.

It is an amenable number.

385761664 is a deficient number, since it is larger than the sum of its proper divisors (383962976).

385761664 is an equidigital number, since it uses as much as digits as its factorization.

385761664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4778 (or 4766 counting only the distinct ones).

The product of its digits is 725760, while the sum is 46.

The square root of 385761664 is about 19640.8162763160. The cubic root of 385761664 is about 727.9580541786.

The spelling of 385761664 in words is "three hundred eighty-five million, seven hundred sixty-one thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 128 751 1502 3004 4013 6008 8026 12016 16052 24032 32104 48064 64208 96128 128416 256832 513664 3013763 6027526 12055052 24110104 48220208 96440416 192880832 385761664