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384324960 = 2535800677
BaseRepresentation
bin10110111010000…
…101010101100000
3222210011201201210
4112322011111200
51241341344320
6102045230120
712344464635
oct2672052540
9883151653
10384324960
11187a3a038
12a8862340
1361813926
143908418c
1523b190e0
hex16e85560

384324960 has 48 divisors (see below), whose sum is σ = 1210625136. Its totient is φ = 102486528.

The previous prime is 384324959. The next prime is 384324971. The reversal of 384324960 is 69423483.

It is a tau number, because it is divible by the number of its divisors (48).

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 7 ways as a sum of consecutive naturals, for example, 399859 + ... + 400818.

It is an arithmetic number, because the mean of its divisors is an integer number (25221357).

Almost surely, 2384324960 is an apocalyptic number.

384324960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

384324960 is an abundant number, since it is smaller than the sum of its proper divisors (826300176).

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

384324960 is a wasteful number, since it uses less digits than its factorization.

384324960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 800695 (or 800687 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 39.

The square root of 384324960 is about 19604.2077116113. The cubic root of 384324960 is about 727.0532110975.

The spelling of 384324960 in words is "three hundred eighty-four million, three hundred twenty-four thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 800677 1601354 2402031 3202708 4003385 4804062 6405416 8006770 9608124 12010155 12810832 16013540 19216248 24020310 25621664 32027080 38432496 48040620 64054160 76864992 96081240 128108320 192162480 384324960