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427330296 = 23338922229
BaseRepresentation
bin11001011110001…
…000101011111000
31002210002121222000
4121132020223320
51333344032141
6110223101000
713406150631
oct3136105370
91083077860
10427330296
111aa242638
12bb141760
136a6c0383
1440a7a888
15277b15b6
hex19788af8

427330296 has 64 divisors (see below), whose sum is σ = 1200420000. Its totient is φ = 140836608.

The previous prime is 427330289. The next prime is 427330297. The reversal of 427330296 is 692033724.

It is a happy number.

It is a super-2 number, since 2×4273302962 = 365222363758895232, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 427330296.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427330297) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8110 + ... + 30338.

Almost surely, 2427330296 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 427330296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (600210000).

427330296 is an abundant number, since it is smaller than the sum of its proper divisors (773089704).

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

427330296 is a wasteful number, since it uses less digits than its factorization.

427330296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22333 (or 22323 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 427330296 is about 20671.9688467258. The cubic root of 427330296 is about 753.2189328635.

The spelling of 427330296 in words is "four hundred twenty-seven million, three hundred thirty thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 89 108 178 216 267 356 534 712 801 1068 1602 2136 2403 3204 4806 6408 9612 19224 22229 44458 66687 88916 133374 177832 200061 266748 400122 533496 600183 800244 1200366 1600488 1978381 2400732 3956762 4801464 5935143 7913524 11870286 15827048 17805429 23740572 35610858 47481144 53416287 71221716 106832574 142443432 213665148 427330296