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379355904 = 2832229719
BaseRepresentation
bin10110100111001…
…000001100000000
3222102211021110200
4112213020030000
51234103342104
6101350525200
712254320614
oct2647101400
9872737420
10379355904
11185155784
12a7066800
1360793c65
143854d344
1523486b39
hex169c8300

379355904 has 108 divisors (see below), whose sum is σ = 1100080800. Its totient is φ = 125724672.

The previous prime is 379355863. The next prime is 379355917. The reversal of 379355904 is 409553973.

379355904 is a `hidden beast` number, since 3 + 7 + 93 + 559 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 379355904.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 527257 + ... + 527975.

Almost surely, 2379355904 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 379355904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550040400).

379355904 is an abundant number, since it is smaller than the sum of its proper divisors (720724896).

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

379355904 is a wasteful number, since it uses less digits than its factorization.

379355904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 970 (or 953 counting only the distinct ones).

The product of its (nonzero) digits is 510300, while the sum is 45.

The square root of 379355904 is about 19477.0609692530. The cubic root of 379355904 is about 723.9061771118.

The spelling of 379355904 in words is "three hundred seventy-nine million, three hundred fifty-five thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 229 256 288 384 458 576 687 719 768 916 1152 1374 1438 1832 2061 2157 2304 2748 2876 3664 4122 4314 5496 5752 6471 7328 8244 8628 10992 11504 12942 14656 16488 17256 21984 23008 25884 29312 32976 34512 43968 46016 51768 58624 65952 69024 87936 92032 103536 131904 138048 164651 175872 184064 207072 263808 276096 329302 414144 493953 527616 552192 658604 828288 987906 1317208 1481859 1656576 1975812 2634416 2963718 3951624 5268832 5927436 7903248 10537664 11854872 15806496 21075328 23709744 31612992 42150656 47419488 63225984 94838976 126451968 189677952 379355904