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385140352 = 277142379
BaseRepresentation
bin10110111101001…
…100011010000000
3222211201011020111
4112331030122000
51242043442402
6102114521104
712354432112
oct2675143200
9884634214
10385140352
11188446713
12a8b96194
1361a3aacc
14392173b2
1523c2a9d7
hex16f4c680

385140352 has 32 divisors (see below), whose sum is σ = 778096800. Its totient is φ = 189853440.

The previous prime is 385140341. The next prime is 385140361. The reversal of 385140352 is 253041583.

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

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, 12102 + ... + 30277.

It is an arithmetic number, because the mean of its divisors is an integer number (24315525).

Almost surely, 2385140352 is an apocalyptic number.

385140352 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

385140352 is an abundant number, since it is smaller than the sum of its proper divisors (392956448).

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

385140352 is an equidigital number, since it uses as much as digits as its factorization.

385140352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42464 (or 42452 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 31.

The square root of 385140352 is about 19624.9930445848. The cubic root of 385140352 is about 727.5670250754.

The spelling of 385140352 in words is "three hundred eighty-five million, one hundred forty thousand, three hundred fifty-two".

Divisors: 1 2 4 8 16 32 64 71 128 142 284 568 1136 2272 4544 9088 42379 84758 169516 339032 678064 1356128 2712256 3008909 5424512 6017818 12035636 24071272 48142544 96285088 192570176 385140352