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379994880 = 2835175821
BaseRepresentation
bin10110101001100…
…100001100000000
3222111000201222110
4112221210030000
51234234314010
6101412335320
712262621536
oct2651441400
9874021873
10379994880
11185551861
12a7314540
1360958a55
1438678156
1523561120
hex16a64300

379994880 has 144 divisors (see below), whose sum is σ = 1285218144. Its totient is φ = 95354880.

The previous prime is 379994873. The next prime is 379994887. The reversal of 379994880 is 88499973.

It is an interprime number because it is at equal distance from previous prime (379994873) and next prime (379994887).

It is a super-2 number, since 2×3799948802 = 288792217652428800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 379994880.

It is not an unprimeable number, because it can be changed into a prime (379994887) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62370 + ... + 68190.

It is an arithmetic number, because the mean of its divisors is an integer number (8925126).

Almost surely, 2379994880 is an apocalyptic number.

379994880 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 379994880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (642609072).

379994880 is an abundant number, since it is smaller than the sum of its proper divisors (905223264).

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

379994880 is a wasteful number, since it uses less digits than its factorization.

379994880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5862 (or 5848 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 57.

The square root of 379994880 is about 19493.4573639465. The cubic root of 379994880 is about 724.3123912628.

The spelling of 379994880 in words is "three hundred seventy-nine million, nine hundred ninety-four thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 64 68 80 85 96 102 120 128 136 160 170 192 204 240 255 256 272 320 340 384 408 480 510 544 640 680 768 816 960 1020 1088 1280 1360 1632 1920 2040 2176 2720 3264 3840 4080 4352 5440 5821 6528 8160 10880 11642 13056 16320 17463 21760 23284 29105 32640 34926 46568 58210 65280 69852 87315 93136 98957 116420 139704 174630 186272 197914 232840 279408 296871 349260 372544 395828 465680 494785 558816 593742 698520 745088 791656 931360 989570 1117632 1187484 1397040 1484355 1490176 1583312 1862720 1979140 2235264 2374968 2794080 2968710 3166624 3725440 3958280 4470528 4749936 5588160 5937420 6333248 7450880 7916560 9499872 11176320 11874840 12666496 15833120 18999744 22352640 23749680 25332992 31666240 37999488 47499360 63332480 75998976 94998720 126664960 189997440 379994880