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432421290 = 232572113253
BaseRepresentation
bin11001110001100…
…011100110101010
31010010200021111100
4121301203212222
51341144440130
6110524142230
713500343320
oct3161434652
91103607440
10432421290
112020aa574
12100997976
136b7836b2
1441603d10
1527e69c60
hex19c639aa

432421290 has 96 divisors (see below), whose sum is σ = 1291395456. Its totient is φ = 98340480.

The previous prime is 432421277. The next prime is 432421313. The reversal of 432421290 is 92124234.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 131304 + ... + 134556.

It is an arithmetic number, because the mean of its divisors is an integer number (13452036).

Almost surely, 2432421290 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 432421290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645697728).

432421290 is an abundant number, since it is smaller than the sum of its proper divisors (858974166).

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

432421290 is a wasteful number, since it uses less digits than its factorization.

432421290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3484 (or 3481 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 432421290 is about 20794.7418834666. The cubic root of 432421290 is about 756.1982872000.

The spelling of 432421290 in words is "four hundred thirty-two million, four hundred twenty-one thousand, two hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 211 315 422 630 633 1055 1266 1477 1899 2110 2954 3165 3253 3798 4431 6330 6506 7385 8862 9495 9759 13293 14770 16265 18990 19518 22155 22771 26586 29277 32530 44310 45542 48795 58554 66465 68313 97590 113855 132930 136626 146385 204939 227710 292770 341565 409878 683130 686383 1024695 1372766 2049390 2059149 3431915 4118298 4804681 6177447 6863830 9609362 10295745 12354894 14414043 20591490 24023405 28828086 30887235 43242129 48046810 61774470 72070215 86484258 144140430 216210645 432421290