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396717696 = 2733191601
BaseRepresentation
bin10111101001010…
…110111010000000
31000122111100101000
4113221112322000
51303024431241
6103211012000
712555021234
oct2751267200
91018440330
10396717696
11193a33971
12b0a3a000
13642625cb
143a98c5c4
1524c65eb6
hex17a56e80

396717696 has 128 divisors (see below), whose sum is σ = 1178956800. Its totient is φ = 131328000.

The previous prime is 396717691. The next prime is 396717707. The reversal of 396717696 is 696717693.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (396717691) 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, 659796 + ... + 660396.

It is an arithmetic number, because the mean of its divisors is an integer number (9210600).

Almost surely, 2396717696 is an apocalyptic number.

396717696 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 396717696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589478400).

396717696 is an abundant number, since it is smaller than the sum of its proper divisors (782239104).

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

396717696 is a wasteful number, since it uses less digits than its factorization.

396717696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 815 (or 797 counting only the distinct ones).

The product of its digits is 2571912, while the sum is 54.

The square root of 396717696 is about 19917.7733695310. The cubic root of 396717696 is about 734.7854100743.

The spelling of 396717696 in words is "three hundred ninety-six million, seven hundred seventeen thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 191 192 216 288 382 384 432 573 576 601 764 864 1146 1152 1202 1528 1719 1728 1803 2292 2404 3056 3438 3456 3606 4584 4808 5157 5409 6112 6876 7212 9168 9616 10314 10818 12224 13752 14424 16227 18336 19232 20628 21636 24448 27504 28848 32454 36672 38464 41256 43272 55008 57696 64908 73344 76928 82512 86544 110016 114791 115392 129816 165024 173088 220032 229582 230784 259632 330048 344373 346176 459164 519264 660096 688746 692352 918328 1033119 1038528 1377492 1836656 2066238 2077056 2754984 3099357 3673312 4132476 5509968 6198714 7346624 8264952 11019936 12397428 14693248 16529904 22039872 24794856 33059808 44079744 49589712 66119616 99179424 132239232 198358848 396717696