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378363264 = 2731951859
BaseRepresentation
bin10110100011010…
…101110110000000
3222100221211211020
4112203111312000
51233330111024
6101313345440
712243014616
oct2643256600
9870854736
10378363264
11184637a14
12a6868280
13605071b6
14383716b6
152333c979
hex168d5d80

378363264 has 64 divisors (see below), whose sum is σ = 1057944000. Its totient is φ = 119480832.

The previous prime is 378363253. The next prime is 378363281. The reversal of 378363264 is 462363873.

It is a tau number, because it is divible by the number of its divisors (64).

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, 18634 + ... + 33225.

It is an arithmetic number, because the mean of its divisors is an integer number (16530375).

Almost surely, 2378363264 is an apocalyptic number.

It is an amenable number.

378363264 is an abundant number, since it is smaller than the sum of its proper divisors (679580736).

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

378363264 is a wasteful number, since it uses less digits than its factorization.

378363264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51895 (or 51883 counting only the distinct ones).

The product of its digits is 435456, while the sum is 42.

The square root of 378363264 is about 19451.5619938348. The cubic root of 378363264 is about 723.2742235930.

The spelling of 378363264 in words is "three hundred seventy-eight million, three hundred sixty-three thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 304 384 456 608 912 1216 1824 2432 3648 7296 51859 103718 155577 207436 311154 414872 622308 829744 985321 1244616 1659488 1970642 2489232 2955963 3318976 3941284 4978464 5911926 6637952 7882568 9956928 11823852 15765136 19913856 23647704 31530272 47295408 63060544 94590816 126121088 189181632 378363264