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374394880 = 2125101181
BaseRepresentation
bin10110010100001…
…101000000000000
3222002111020020001
4112110031000000
51231321114010
6101052325344
712164206156
oct2624150000
9862436201
10374394880
11182377462
12a5473854
135c747b42
1437a1b3d6
1522d06c3a
hex1650d000

374394880 has 104 divisors (see below), whose sum is σ = 912346344. Its totient is φ = 147456000.

The previous prime is 374394869. The next prime is 374394907. The reversal of 374394880 is 88493473.

374394880 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 27541504 + 346853376 = 5248^2 + 18624^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 374394880.

It is a congruent number.

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, 2068390 + ... + 2068570.

It is an arithmetic number, because the mean of its divisors is an integer number (8772561).

Almost surely, 2374394880 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 374394880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456173172).

374394880 is an abundant number, since it is smaller than the sum of its proper divisors (537951464).

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

374394880 is a wasteful number, since it uses less digits than its factorization.

374394880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 46.

The square root of 374394880 is about 19349.2862917473. The cubic root of 374394880 is about 720.7366945264.

The spelling of 374394880 in words is "three hundred seventy-four million, three hundred ninety-four thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 101 128 160 181 202 256 320 362 404 505 512 640 724 808 905 1010 1024 1280 1448 1616 1810 2020 2048 2560 2896 3232 3620 4040 4096 5120 5792 6464 7240 8080 10240 11584 12928 14480 16160 18281 20480 23168 25856 28960 32320 36562 46336 51712 57920 64640 73124 91405 92672 103424 115840 129280 146248 182810 185344 206848 231680 258560 292496 365620 370688 413696 463360 517120 584992 731240 741376 926720 1034240 1169984 1462480 1853440 2068480 2339968 2924960 3706880 4679936 5849920 9359872 11699840 18719744 23399680 37439488 46799360 74878976 93598720 187197440 374394880