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323059104 = 2534235419
BaseRepresentation
bin10011010000010…
…111110110100000
3211111220002210000
4103100113312200
51130200342404
652020140000
711001646164
oct2320276640
9744802700
10323059104
111563a40a5
1290237600
1351c12744
1430c96ca4
151d566339
hex13417da0

323059104 has 120 divisors (see below), whose sum is σ = 991599840. Its totient is φ = 102985344.

The previous prime is 323059069. The next prime is 323059151. The reversal of 323059104 is 401950323.

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

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 19 ways as a sum of consecutive naturals, for example, 56907 + ... + 62325.

It is an arithmetic number, because the mean of its divisors is an integer number (8263332).

Almost surely, 2323059104 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 323059104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495799920).

323059104 is an abundant number, since it is smaller than the sum of its proper divisors (668540736).

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

323059104 is a wasteful number, since it uses less digits than its factorization.

323059104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5464 (or 5447 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 323059104 is about 17973.8449976626. The cubic root of 323059104 is about 686.1630508848.

The spelling of 323059104 in words is "three hundred twenty-three million, fifty-nine thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 69 72 81 92 96 108 138 144 162 184 207 216 276 288 324 368 414 432 552 621 648 736 828 864 1104 1242 1296 1656 1863 2208 2484 2592 3312 3726 4968 5419 6624 7452 9936 10838 14904 16257 19872 21676 29808 32514 43352 48771 59616 65028 86704 97542 124637 130056 146313 173408 195084 249274 260112 292626 373911 390168 438939 498548 520224 585252 747822 780336 877878 997096 1121733 1170504 1495644 1560672 1755756 1994192 2243466 2341008 2991288 3365199 3511512 3988384 4486932 4682016 5982576 6730398 7023024 8973864 10095597 11965152 13460796 14046048 17947728 20191194 26921592 35895456 40382388 53843184 80764776 107686368 161529552 323059104