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324383904 = 253213233767
BaseRepresentation
bin10011010101011…
…011010010100000
3211121101102001200
4103111123102200
51131020241104
652104401200
711016134445
oct2325332240
9747342050
10324383904
11157119479
1290776200
1352287750
143111d9cc
151d728b39
hex1355b4a0

324383904 has 144 divisors (see below), whose sum is σ = 1036893312. Its totient is φ = 95445504.

The previous prime is 324383893. The next prime is 324383933. The reversal of 324383904 is 409383423.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 84229 + ... + 87995.

It is an arithmetic number, because the mean of its divisors is an integer number (7200648).

Almost surely, 2324383904 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 324383904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518446656).

324383904 is an abundant number, since it is smaller than the sum of its proper divisors (712509408).

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

324383904 is a wasteful number, since it uses less digits than its factorization.

324383904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3819 (or 3808 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 324383904 is about 18010.6608429563. The cubic root of 324383904 is about 687.0997102975.

The spelling of 324383904 in words is "three hundred twenty-four million, three hundred eighty-three thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 23 24 26 32 36 39 46 48 52 69 72 78 92 96 104 117 138 144 156 184 207 208 234 276 288 299 312 368 414 416 468 552 598 624 736 828 897 936 1104 1196 1248 1656 1794 1872 2208 2392 2691 3312 3588 3744 3767 4784 5382 6624 7176 7534 9568 10764 11301 14352 15068 21528 22602 28704 30136 33903 43056 45204 48971 60272 67806 86112 86641 90408 97942 120544 135612 146913 173282 180816 195884 259923 271224 293826 346564 361632 391768 440739 519846 542448 587652 693128 779769 783536 881478 1039692 1084896 1126333 1175304 1386256 1559538 1567072 1762956 2079384 2252666 2350608 2772512 3119076 3378999 3525912 4158768 4505332 4701216 6238152 6757998 7051824 8317536 9010664 10136997 12476304 13515996 14103648 18021328 20273994 24952608 27031992 36042656 40547988 54063984 81095976 108127968 162191952 324383904