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385417312 = 2571720613
BaseRepresentation
bin10110111110010…
…000000001100000
3222212020020011021
4112332100001200
51242131323222
6102124455224
712356664430
oct2676200140
9885206137
10385417312
11188615805
12a90aa514
1361b06ba7
143928a2c0
1523c82ac7
hex16f90060

385417312 has 24 divisors (see below), whose sum is σ = 867189456. Its totient is φ = 165178752.

The previous prime is 385417283. The next prime is 385417339. The reversal of 385417312 is 213714583.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 860083 + ... + 860530.

It is an arithmetic number, because the mean of its divisors is an integer number (36132894).

Almost surely, 2385417312 is an apocalyptic number.

385417312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

385417312 is an abundant number, since it is smaller than the sum of its proper divisors (481772144).

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

385417312 is a wasteful number, since it uses less digits than its factorization.

385417312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1720630 (or 1720622 counting only the distinct ones).

The product of its digits is 20160, while the sum is 34.

The square root of 385417312 is about 19632.0480847007. The cubic root of 385417312 is about 727.7413846124.

The spelling of 385417312 in words is "three hundred eighty-five million, four hundred seventeen thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 1720613 3441226 6882452 12044291 13764904 24088582 27529808 48177164 55059616 96354328 192708656 385417312