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326407104 = 2633474019
BaseRepresentation
bin10011011101001…
…001001111000000
3211202012012101000
4103131021033000
51132030011404
652220012000
711042262132
oct2335111700
9752165330
10326407104
11158280541
1291391000
13528155ca
14314c9052
151d9c8339
hex137493c0

326407104 has 112 divisors (see below), whose sum is σ = 980236800. Its totient is φ = 106460928.

The previous prime is 326407087. The next prime is 326407117. The reversal of 326407104 is 401704623.

326407104 is a `hidden beast` number, since 3 + 2 + 640 + 7 + 10 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 79207 + ... + 83225.

Almost surely, 2326407104 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 326407104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490118400).

326407104 is an abundant number, since it is smaller than the sum of its proper divisors (653829696).

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

326407104 is a wasteful number, since it uses less digits than its factorization.

326407104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4087 (or 4071 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 326407104 is about 18066.7402704528. The cubic root of 326407104 is about 688.5252434012.

The spelling of 326407104 in words is "three hundred twenty-six million, four hundred seven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 47 48 54 64 72 94 96 108 141 144 188 192 216 282 288 376 423 432 564 576 752 846 864 1128 1269 1504 1692 1728 2256 2538 3008 3384 4019 4512 5076 6768 8038 9024 10152 12057 13536 16076 20304 24114 27072 32152 36171 40608 48228 64304 72342 81216 96456 108513 128608 144684 188893 192912 217026 257216 289368 377786 385824 434052 566679 578736 755572 771648 868104 1133358 1157472 1511144 1700037 1736208 2266716 2314944 3022288 3400074 3472416 4533432 5100111 6044576 6800148 6944832 9066864 10200222 12089152 13600296 18133728 20400444 27200592 36267456 40800888 54401184 81601776 108802368 163203552 326407104