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379907712 = 2733372971
BaseRepresentation
bin10110101001001…
…110111010000000
3222110212022102000
4112221032322000
51234224021322
6101410424000
712262106442
oct2651167200
9873768360
10379907712
111854a2318
12a7292000
1360928182
1438654492
15235453ac
hex16a4ee80

379907712 has 128 divisors (see below), whose sum is σ = 1151947200. Its totient is φ = 123171840.

The previous prime is 379907707. The next prime is 379907741. The reversal of 379907712 is 217709973.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 126387 + ... + 129357.

Almost surely, 2379907712 is an apocalyptic number.

379907712 is a gapful number since it is divisible by the number (32) 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 379907712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575973600).

379907712 is an abundant number, since it is smaller than the sum of its proper divisors (772039488).

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

379907712 is a wasteful number, since it uses less digits than its factorization.

379907712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3031 (or 3013 counting only the distinct ones).

The product of its (nonzero) digits is 166698, while the sum is 45.

The square root of 379907712 is about 19491.2214086239. The cubic root of 379907712 is about 724.2570030684.

The spelling of 379907712 in words is "three hundred seventy-nine million, nine hundred seven thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 37 48 54 64 72 74 96 108 111 128 144 148 192 216 222 288 296 333 384 432 444 576 592 666 864 888 999 1152 1184 1332 1728 1776 1998 2368 2664 2971 3456 3552 3996 4736 5328 5942 7104 7992 8913 10656 11884 14208 15984 17826 21312 23768 26739 31968 35652 42624 47536 53478 63936 71304 80217 95072 106956 109927 127872 142608 160434 190144 213912 219854 285216 320868 329781 380288 427824 439708 570432 641736 659562 855648 879416 989343 1140864 1283472 1319124 1711296 1758832 1978686 2566944 2638248 2968029 3422592 3517664 3957372 5133888 5276496 5936058 7035328 7914744 10267776 10552992 11872116 14070656 15829488 21105984 23744232 31658976 42211968 47488464 63317952 94976928 126635904 189953856 379907712