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909434968 = 2313359877
BaseRepresentation
bin110110001101001…
…110000001011000
32100101021002020121
4312031032001120
53330303404333
6230124203024
731352032621
oct6615160130
92311232217
10909434968
11427396a52
12214699474
1311654b000
1488ad4a48
1554c9232d
hex3634e058

909434968 has 64 divisors (see below), whose sum is σ = 1880676000. Its totient is φ = 412154496.

The previous prime is 909434957. The next prime is 909434989. The reversal of 909434968 is 869434909.

It is a super-2 number, since 2×9094349682 = 1654143922042322048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 1036546 + ... + 1037422.

Almost surely, 2909434968 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 909434968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (940338000).

909434968 is an abundant number, since it is smaller than the sum of its proper divisors (971241032).

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

909434968 is a wasteful number, since it uses less digits than its factorization.

909434968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 981 (or 951 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 52.

The square root of 909434968 is about 30156.8394895752. The cubic root of 909434968 is about 968.8515007183.

The spelling of 909434968 in words is "nine hundred nine million, four hundred thirty-four thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 13 26 52 59 104 118 169 236 338 472 676 767 877 1352 1534 1754 2197 3068 3508 4394 6136 7016 8788 9971 11401 17576 19942 22802 39884 45604 51743 79768 91208 103486 129623 148213 206972 259246 296426 413944 518492 592852 672659 1036984 1185704 1345318 1926769 2690636 3853538 5381272 7707076 8744567 15414152 17489134 34978268 69956536 113679371 227358742 454717484 909434968