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378264096 = 25327187631
BaseRepresentation
bin10110100010111…
…101101000100000
3222100202210210100
4112202331220200
51233313422341
6101311302400
712242122530
oct2642755040
9870683710
10378264096
1118457a461
12a681aa00
13604a1012
14383474c0
152331d3b6
hex168bda20

378264096 has 72 divisors (see below), whose sum is σ = 1229364864. Its totient is φ = 108074880.

The previous prime is 378264079. The next prime is 378264109. The reversal of 378264096 is 690462873.

It is a tau number, because it is divible by the number of its divisors (72).

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 11 ways as a sum of consecutive naturals, for example, 91800 + ... + 95831.

It is an arithmetic number, because the mean of its divisors is an integer number (17074512).

Almost surely, 2378264096 is an apocalyptic number.

378264096 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

378264096 is an abundant number, since it is smaller than the sum of its proper divisors (851100768).

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

378264096 is a wasteful number, since it uses less digits than its factorization.

378264096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187654 (or 187643 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 378264096 is about 19449.0127255858. The cubic root of 378264096 is about 723.2110286581.

The spelling of 378264096 in words is "three hundred seventy-eight million, two hundred sixty-four thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 187631 375262 562893 750524 1125786 1313417 1501048 1688679 2251572 2626834 3002096 3377358 3940251 4503144 5253668 6004192 6754716 7880502 9006288 10507336 11820753 13509432 15761004 18012576 21014672 23641506 27018864 31522008 42029344 47283012 54037728 63044016 94566024 126088032 189132048 378264096