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880431372 = 2232313372341
BaseRepresentation
bin110100011110100…
…101000100001100
32021100200112210100
4310132211010030
53300342300442
6223210411100
730550354212
oct6436450414
92240615710
10880431372
11411a87137
12206a30a90
13110534712
1484d04cb2
155246384c
hex347a510c

880431372 has 72 divisors (see below), whose sum is σ = 2305127552. Its totient is φ = 283046400.

The previous prime is 880431347. The next prime is 880431397. The reversal of 880431372 is 273134088.

It is an interprime number because it is at equal distance from previous prime (880431347) and next prime (880431397).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 374922 + ... + 377262.

Almost surely, 2880431372 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 880431372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1152563776).

880431372 is an abundant number, since it is smaller than the sum of its proper divisors (1424696180).

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

880431372 is a wasteful number, since it uses less digits than its factorization.

880431372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2719 (or 2714 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 880431372 is about 29672.0638311527. The cubic root of 880431372 is about 958.4405279832.

The spelling of 880431372 in words is "eight hundred eighty million, four hundred thirty-one thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 279 337 372 558 674 1011 1116 1348 2022 2341 3033 4044 4682 6066 7023 9364 10447 12132 14046 20894 21069 28092 31341 41788 42138 62682 72571 84276 94023 125364 145142 188046 217713 290284 376092 435426 653139 788917 870852 1306278 1577834 2366751 2612556 3155668 4733502 7100253 9467004 14200506 24456427 28401012 48912854 73369281 97825708 146738562 220107843 293477124 440215686 880431372