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384016640 = 285742859
BaseRepresentation
bin10110111000111…
…010000100000000
3222202121001210112
4112320322010000
51241302013030
6102034450452
712342042020
oct2670720400
9882531715
10384016640
11187849427
12a8733a28
13617364a7
1439003a80
1523aa7a95
hex16e3a100

384016640 has 72 divisors (see below), whose sum is σ = 1051270080. Its totient is φ = 131659776.

The previous prime is 384016639. The next prime is 384016669. The reversal of 384016640 is 46610483.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 384016597 and 384016606.

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 7 ways as a sum of consecutive naturals, for example, 12470 + ... + 30389.

Almost surely, 2384016640 is an apocalyptic number.

It is an amenable number.

384016640 is an abundant number, since it is smaller than the sum of its proper divisors (667253440).

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

384016640 is an equidigital number, since it uses as much as digits as its factorization.

384016640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42887 (or 42873 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 384016640 is about 19596.3425158880. The cubic root of 384016640 is about 726.8587359002.

The spelling of 384016640 in words is "three hundred eighty-four million, sixteen thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 560 640 896 1120 1280 1792 2240 4480 8960 42859 85718 171436 214295 300013 342872 428590 600026 685744 857180 1200052 1371488 1500065 1714360 2400104 2742976 3000130 3428720 4800208 5485952 6000260 6857440 9600416 10971904 12000520 13714880 19200832 24001040 27429760 38401664 48002080 54859520 76803328 96004160 192008320 384016640