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427334832 = 24331516551
BaseRepresentation
bin11001011110001…
…001110010110000
31002210002212012000
4121132021302300
51333344203312
6110223134000
713406200101
oct3136116260
91083085160
10427334832
111aa245a91
12bb144300
136a6c2462
1440a7c3a8
15277b2adc
hex19789cb0

427334832 has 80 divisors (see below), whose sum is σ = 1234920960. Its totient is φ = 141480000.

The previous prime is 427334821. The next prime is 427334851. The reversal of 427334832 is 238433724.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61957 + ... + 68507.

It is an arithmetic number, because the mean of its divisors is an integer number (15436512).

Almost surely, 2427334832 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 427334832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617460480).

427334832 is an abundant number, since it is smaller than the sum of its proper divisors (807586128).

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

427334832 is a wasteful number, since it uses less digits than its factorization.

427334832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6719 (or 6707 counting only the distinct ones).

The product of its digits is 96768, while the sum is 36.

The square root of 427334832 is about 20672.0785602222. The cubic root of 427334832 is about 753.2215979285.

The spelling of 427334832 in words is "four hundred twenty-seven million, three hundred thirty-four thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 151 216 302 432 453 604 906 1208 1359 1812 2416 2718 3624 4077 5436 6551 7248 8154 10872 13102 16308 19653 21744 26204 32616 39306 52408 58959 65232 78612 104816 117918 157224 176877 235836 314448 353754 471672 707508 943344 989201 1415016 1978402 2830032 2967603 3956804 5935206 7913608 8902809 11870412 15827216 17805618 23740824 26708427 35611236 47481648 53416854 71222472 106833708 142444944 213667416 427334832