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379046880 = 25325263227
BaseRepresentation
bin10110100101111…
…100101111100000
3222102020120120100
4112211330233200
51234014000010
6101340142400
712251562642
oct2645745740
9872216510
10379046880
11184a64593
12a6b37a00
13606b63c4
14384ac892
15234252c0
hex1697cbe0

379046880 has 72 divisors (see below), whose sum is σ = 1293502392. Its totient is φ = 101078784.

The previous prime is 379046821. The next prime is 379046893. The reversal of 379046880 is 88640973.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 130174 + ... + 133053.

It is an arithmetic number, because the mean of its divisors is an integer number (17965311).

Almost surely, 2379046880 is an apocalyptic number.

379046880 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

379046880 is an abundant number, since it is smaller than the sum of its proper divisors (914455512).

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

379046880 is a wasteful number, since it uses less digits than its factorization.

379046880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263248 (or 263237 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 379046880 is about 19469.1263286260. The cubic root of 379046880 is about 723.7095586233.

The spelling of 379046880 in words is "three hundred seventy-nine million, forty-six thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 263227 526454 789681 1052908 1316135 1579362 2105816 2369043 2632270 3158724 3948405 4211632 4738086 5264540 6317448 7896810 8423264 9476172 10529080 11845215 12634896 15793620 18952344 21058160 23690430 25269792 31587240 37904688 42116320 47380860 63174480 75809376 94761720 126348960 189523440 379046880