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323429904 = 24327674789
BaseRepresentation
bin10011010001110…
…010011000010000
3211112120221102100
4103101302120100
51130244224104
652032120400
711005052220
oct2321623020
9745527370
10323429904
11156627746
1290396100
1352012455
1430d52080
151d5db139
hex13472610

323429904 has 120 divisors (see below), whose sum is σ = 1050121280. Its totient is φ = 91010304.

The previous prime is 323429893. The next prime is 323429929. The reversal of 323429904 is 409924323.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65142 + ... + 69930.

Almost surely, 2323429904 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 323429904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525060640).

323429904 is an abundant number, since it is smaller than the sum of its proper divisors (726691376).

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

323429904 is a wasteful number, since it uses less digits than its factorization.

323429904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4877 (or 4868 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 323429904 is about 17984.1570277842. The cubic root of 323429904 is about 686.4254713680.

The spelling of 323429904 in words is "three hundred twenty-three million, four hundred twenty-nine thousand, nine hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 67 72 84 112 126 134 144 168 201 252 268 336 402 469 504 536 603 804 938 1008 1072 1206 1407 1608 1876 2412 2814 3216 3752 4221 4789 4824 5628 7504 8442 9578 9648 11256 14367 16884 19156 22512 28734 33523 33768 38312 43101 57468 67046 67536 76624 86202 100569 114936 134092 172404 201138 229872 268184 301707 320863 344808 402276 536368 603414 641726 689616 804552 962589 1206828 1283452 1609104 1925178 2246041 2413656 2566904 2887767 3850356 4492082 4827312 5133808 5775534 6738123 7700712 8984164 11551068 13476246 15401424 17968328 20214369 23102136 26952492 35936656 40428738 46204272 53904984 80857476 107809968 161714952 323429904