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385118352 = 24325350461
BaseRepresentation
bin10110111101000…
…111000010010000
3222211200001001200
4112331013002100
51242042241402
6102114231200
712354311013
oct2675070220
9884601050
10385118352
11188431133
12a8b85500
1361a30aa8
143920d37a
1523c2421c
hex16f47090

385118352 has 60 divisors (see below), whose sum is σ = 1098154044. Its totient is φ = 125948160.

The previous prime is 385118333. The next prime is 385118369. The reversal of 385118352 is 253811583.

It can be written as a sum of positive squares in 2 ways, for example, as 295702416 + 89415936 = 17196^2 + 9456^2 .

It is a super-2 number, since 2×3851183522 = 296632290094391808, which contains 22 as substring.

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

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 11 ways as a sum of consecutive naturals, for example, 17599 + ... + 32862.

Almost surely, 2385118352 is an apocalyptic number.

It is an amenable number.

385118352 is an abundant number, since it is smaller than the sum of its proper divisors (713035692).

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

385118352 is a wasteful number, since it uses less digits than its factorization.

385118352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50528 (or 50519 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The square root of 385118352 is about 19624.4325268274. The cubic root of 385118352 is about 727.5531714423.

The spelling of 385118352 in words is "three hundred eighty-five million, one hundred eighteen thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 53 72 106 144 159 212 318 424 477 636 848 954 1272 1908 2544 3816 7632 50461 100922 151383 201844 302766 403688 454149 605532 807376 908298 1211064 1816596 2422128 2674433 3633192 5348866 7266384 8023299 10697732 16046598 21395464 24069897 32093196 42790928 48139794 64186392 96279588 128372784 192559176 385118352