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396791304 = 233713971873
BaseRepresentation
bin10111101001101…
…000111000001000
31000122122002100020
4113221220320020
51303034310204
6103212340440
712555445650
oct2751507010
91018562306
10396791304
11193a841a8
12b0a74720
1364289c70
143a9ab360
1524c7cbd9
hex17a68e08

396791304 has 128 divisors (see below), whose sum is σ = 1234141440. Its totient is φ = 103514112.

The previous prime is 396791303. The next prime is 396791309. The reversal of 396791304 is 403197693.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (396791303) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 210912 + ... + 212784.

It is an arithmetic number, because the mean of its divisors is an integer number (9641730).

Almost surely, 2396791304 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 396791304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617070720).

396791304 is an abundant number, since it is smaller than the sum of its proper divisors (837350136).

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

396791304 is a wasteful number, since it uses less digits than its factorization.

396791304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1999 (or 1995 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 42.

The square root of 396791304 is about 19919.6210807334. The cubic root of 396791304 is about 734.8308519089.

The spelling of 396791304 in words is "three hundred ninety-six million, seven hundred ninety-one thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 97 104 156 168 182 194 273 291 312 364 388 546 582 679 728 776 1092 1164 1261 1358 1873 2037 2184 2328 2522 2716 3746 3783 4074 5044 5432 5619 7492 7566 8148 8827 10088 11238 13111 14984 15132 16296 17654 22476 24349 26222 26481 30264 35308 39333 44952 48698 52444 52962 70616 73047 78666 97396 104888 105924 146094 157332 170443 181681 194792 211848 292188 314664 340886 363362 511329 545043 584376 681772 726724 1022658 1090086 1271767 1363544 1453448 2045316 2180172 2361853 2543534 3815301 4090632 4360344 4723706 5087068 7085559 7630602 9447412 10174136 14171118 15261204 16532971 18894824 28342236 30522408 33065942 49598913 56684472 66131884 99197826 132263768 198395652 396791304