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964393668 = 223376132081
BaseRepresentation
bin111001011110110…
…111101011000100
32111012200021102000
4321132313223010
53433341044133
6235410145300
732620132230
oct7136675304
92435607360
10964393668
11455414267
1222ab82230
13124a51454
149211d5c0
15599eb413
hex397b7ac4

964393668 has 96 divisors (see below), whose sum is σ = 2863499520. Its totient is φ = 274959360.

The previous prime is 964393649. The next prime is 964393669. The reversal of 964393668 is 866393469.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (964393669) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 462388 + ... + 464468.

It is an arithmetic number, because the mean of its divisors is an integer number (29828120).

Almost surely, 2964393668 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 964393668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1431749760).

964393668 is an abundant number, since it is smaller than the sum of its proper divisors (1899105852).

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

964393668 is a wasteful number, since it uses less digits than its factorization.

964393668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2714 (or 2706 counting only the distinct ones).

The product of its digits is 5038848, while the sum is 54.

The square root of 964393668 is about 31054.6883416981. The cubic root of 964393668 is about 987.9875003199.

The spelling of 964393668 in words is "nine hundred sixty-four million, three hundred ninety-three thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 613 756 1226 1839 2081 2452 3678 4162 4291 5517 6243 7356 8324 8582 11034 12486 12873 14567 16551 17164 18729 22068 24972 25746 29134 33102 37458 38619 43701 51492 56187 58268 66204 74916 77238 87402 112374 115857 131103 154476 174804 224748 231714 262206 393309 463428 524412 786618 1275653 1573236 2551306 3826959 5102612 7653918 8929571 11480877 15307836 17859142 22961754 26788713 34442631 35718284 45923508 53577426 68885262 80366139 107154852 137770524 160732278 241098417 321464556 482196834 964393668