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379207680 = 214351543
BaseRepresentation
bin10110100110100…
…100000000000000
3222102112202010220
4112212210000000
51234034121210
6101343423040
712253132515
oct2646440000
9872482126
10379207680
11185064385
12a6bb4a80
1360741657
143851130c
1523457c70
hex169a4000

379207680 has 120 divisors (see below), whose sum is σ = 1214213952. Its totient is φ = 101056512.

The previous prime is 379207667. The next prime is 379207727. The reversal of 379207680 is 86702973.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 244989 + ... + 246531.

Almost surely, 2379207680 is an apocalyptic number.

379207680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 379207680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (607106976).

379207680 is an abundant number, since it is smaller than the sum of its proper divisors (835006272).

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

379207680 is an equidigital number, since it uses as much as digits as its factorization.

379207680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1579 (or 1553 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 42.

The square root of 379207680 is about 19473.2555059497. The cubic root of 379207680 is about 723.8118819780.

The spelling of 379207680 in words is "three hundred seventy-nine million, two hundred seven thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1024 1280 1536 1543 1920 2048 2560 3072 3086 3840 4096 4629 5120 6144 6172 7680 7715 8192 9258 10240 12288 12344 15360 15430 16384 18516 20480 23145 24576 24688 30720 30860 37032 40960 46290 49152 49376 61440 61720 74064 81920 92580 98752 122880 123440 148128 185160 197504 245760 246880 296256 370320 395008 493760 592512 740640 790016 987520 1185024 1481280 1580032 1975040 2370048 2962560 3160064 3950080 4740096 5925120 6320128 7900160 9480192 11850240 12640256 15800320 18960384 23700480 25280512 31600640 37920768 47400960 63201280 75841536 94801920 126402560 189603840 379207680