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3353230296 = 23321329312227
BaseRepresentation
bin1100011111011110…
…0011101111011000
322122200200202012200
43013313203233120
523331411332141
61312423210200
7146044662423
oct30767435730
98580622180
103353230296
1114708a1609
12796ba6960
1341592bb50
1423b4b49ba
151495b9ab6
hexc7de3bd8

3353230296 has 96 divisors (see below), whose sum is σ = 9814437360. Its totient is φ = 1028157696.

The previous prime is 3353230213. The next prime is 3353230313. The reversal of 3353230296 is 6920323533.

3353230296 is a `hidden beast` number, since 3 + 3 + 532 + 30 + 2 + 96 = 666.

It is a super-2 number, since 2×33532302962 = 22488306836024495232, 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 3353230296.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 268135 + ... + 280361.

Almost surely, 23353230296 is an apocalyptic number.

3353230296 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3353230296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4907218680).

3353230296 is an abundant number, since it is smaller than the sum of its proper divisors (6461207064).

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

3353230296 is a wasteful number, since it uses less digits than its factorization.

3353230296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12545 (or 12538 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 36.

The square root of 3353230296 is about 57907.0832972962. The cubic root of 3353230296 is about 1496.7678993524.

The spelling of 3353230296 in words is "three billion, three hundred fifty-three million, two hundred thirty thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 293 312 468 586 879 936 1172 1758 2344 2637 3516 3809 5274 7032 7618 10548 11427 12227 15236 21096 22854 24454 30472 34281 36681 45708 48908 68562 73362 91416 97816 110043 137124 146724 158951 220086 274248 293448 317902 440172 476853 635804 880344 953706 1271608 1430559 1907412 2861118 3582511 3814824 5722236 7165022 10747533 11444472 14330044 21495066 28660088 32242599 42990132 46572643 64485198 85980264 93145286 128970396 139717929 186290572 257940792 279435858 372581144 419153787 558871716 838307574 1117743432 1676615148 3353230296