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379109376 = 21433857
BaseRepresentation
bin10110100110001…
…100000000000000
3222102100202022000
4112212030000000
51234023000001
6101341344000
712252243102
oct2646140000
9872322260
10379109376
11184aa7538
12a6b68000
1360708999
14384c7572
1523438a86
hex1698c000

379109376 has 120 divisors (see below), whose sum is σ = 1124563440. Its totient is φ = 126222336.

The previous prime is 379109369. The next prime is 379109443. The reversal of 379109376 is 673901973.

It is a super-2 number, since 2×3791093762 = 287447837942218752, which contains 22 as substring.

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, 441940 + ... + 442796.

It is an arithmetic number, because the mean of its divisors is an integer number (9371362).

Almost surely, 2379109376 is an apocalyptic number.

379109376 is a gapful number since it is divisible by the number (36) 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 379109376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562281720).

379109376 is an abundant number, since it is smaller than the sum of its proper divisors (745454064).

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

379109376 is an frugal number, since it uses more digits than its factorization.

379109376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 894 (or 862 counting only the distinct ones).

The product of its (nonzero) digits is 214326, while the sum is 45.

The square root of 379109376 is about 19470.7312651580. The cubic root of 379109376 is about 723.7493307197.

The spelling of 379109376 in words is "three hundred seventy-nine million, one hundred nine thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 857 864 1024 1152 1536 1714 1728 2048 2304 2571 3072 3428 3456 4096 4608 5142 6144 6856 6912 7713 8192 9216 10284 12288 13712 13824 15426 16384 18432 20568 23139 24576 27424 27648 30852 36864 41136 46278 49152 54848 55296 61704 73728 82272 92556 109696 110592 123408 147456 164544 185112 219392 221184 246816 329088 370224 438784 442368 493632 658176 740448 877568 987264 1316352 1480896 1755136 1974528 2632704 2961792 3510272 3949056 5265408 5923584 7020544 7898112 10530816 11847168 14041088 15796224 21061632 23694336 31592448 42123264 47388672 63184896 94777344 126369792 189554688 379109376