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379236384 = 25333711863
BaseRepresentation
bin10110100110101…
…011000000100000
3222102121012112000
4112212223000200
51234041031014
6101344204000
712253312302
oct2646530040
9872535460
10379236384
111850839aa
12a7009600
1360751737
143851b972
1523461509
hex169ab020

379236384 has 96 divisors (see below), whose sum is σ = 1136096640. Its totient is φ = 122985216.

The previous prime is 379236383. The next prime is 379236437. The reversal of 379236384 is 483632973.

379236384 is a `hidden beast` number, since 3 + 7 + 9 + 2 + 3 + 638 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (379236383) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 26037 + ... + 37899.

It is an arithmetic number, because the mean of its divisors is an integer number (11834340).

Almost surely, 2379236384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 379236384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568048320).

379236384 is an abundant number, since it is smaller than the sum of its proper divisors (756860256).

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

379236384 is a wasteful number, since it uses less digits than its factorization.

379236384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11919 (or 11905 counting only the distinct ones).

The product of its digits is 653184, while the sum is 45.

The square root of 379236384 is about 19473.9925028228. The cubic root of 379236384 is about 723.8301444176.

The spelling of 379236384 in words is "three hundred seventy-nine million, two hundred thirty-six thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 37 48 54 72 74 96 108 111 144 148 216 222 288 296 333 432 444 592 666 864 888 999 1184 1332 1776 1998 2664 3552 3996 5328 7992 10656 11863 15984 23726 31968 35589 47452 71178 94904 106767 142356 189808 213534 284712 320301 379616 427068 438931 569424 640602 854136 877862 1138848 1281204 1316793 1708272 1755724 2562408 2633586 3416544 3511448 3950379 5124816 5267172 7022896 7900758 10249632 10534344 11851137 14045792 15801516 21068688 23702274 31603032 42137376 47404548 63206064 94809096 126412128 189618192 379236384