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385450368 = 2732934613
BaseRepresentation
bin10110111110011…
…000000110000000
3222212021220111120
4112332120012000
51242133402433
6102125312240
712360163002
oct2676300600
9885256446
10385450368
11188638626
12a9105680
1361b18c54
1439298372
1523c8c7b3
hex16f98180

385450368 has 64 divisors (see below), whose sum is σ = 1059188400. Its totient is φ = 124049408.

The previous prime is 385450361. The next prime is 385450391. The reversal of 385450368 is 863054583.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385450361) 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, 6171 + ... + 28442.

Almost surely, 2385450368 is an apocalyptic number.

It is an amenable number.

385450368 is an abundant number, since it is smaller than the sum of its proper divisors (673738032).

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

385450368 is a wasteful number, since it uses less digits than its factorization.

385450368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34659 (or 34647 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 42.

The square root of 385450368 is about 19632.8899553784. The cubic root of 385450368 is about 727.7621893615.

The spelling of 385450368 in words is "three hundred eighty-five million, four hundred fifty thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 128 174 192 232 348 384 464 696 928 1392 1856 2784 3712 5568 11136 34613 69226 103839 138452 207678 276904 415356 553808 830712 1003777 1107616 1661424 2007554 2215232 3011331 3322848 4015108 4430464 6022662 6645696 8030216 12045324 13291392 16060432 24090648 32120864 48181296 64241728 96362592 128483456 192725184 385450368