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379211920 = 2454740149
BaseRepresentation
bin10110100110100…
…101000010010000
3222102112221221221
4112212211002100
51234034240140
6101343454424
712253151053
oct2646450220
9872487857
10379211920
1118506758a
12a6bb7414
1360743569
1438512a9a
152345914a
hex169a5090

379211920 has 20 divisors (see below), whose sum is σ = 881667900. Its totient is φ = 151684736.

The previous prime is 379211891. The next prime is 379211953. The reversal of 379211920 is 29112973.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 250525584 + 128686336 = 15828^2 + 11344^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-3 number, since 3×3792119203 (a number of 27 digits) contains 333 as substring.

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 3 ways as a sum of consecutive naturals, for example, 2369995 + ... + 2370154.

It is an arithmetic number, because the mean of its divisors is an integer number (44083395).

Almost surely, 2379211920 is an apocalyptic number.

It is an amenable number.

379211920 is an abundant number, since it is smaller than the sum of its proper divisors (502455980).

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

379211920 is a wasteful number, since it uses less digits than its factorization.

379211920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4740162 (or 4740156 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 34.

The square root of 379211920 is about 19473.3643729069. The cubic root of 379211920 is about 723.8145796650.

The spelling of 379211920 in words is "three hundred seventy-nine million, two hundred eleven thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 4740149 9480298 18960596 23700745 37921192 47401490 75842384 94802980 189605960 379211920