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323671968 = 25322574373
BaseRepresentation
bin10011010010101…
…101011110100000
3211120001020110200
4103102231132200
51130330000333
652041225200
711010111024
oct2322553640
9746036420
10323671968
111567825a4
1290492200
1352098699
1430db6384
151d637c13
hex134ad7a0

323671968 has 72 divisors (see below), whose sum is σ = 924234948. Its totient is φ = 107446272.

The previous prime is 323671951. The next prime is 323671979. The reversal of 323671968 is 869176323.

It can be written as a sum of positive squares in 2 ways, for example, as 281836944 + 41835024 = 16788^2 + 6468^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 71830 + ... + 76202.

Almost surely, 2323671968 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 323671968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462117474).

323671968 is an abundant number, since it is smaller than the sum of its proper divisors (600562980).

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

323671968 is a wasteful number, since it uses less digits than its factorization.

323671968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4646 (or 4635 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 323671968 is about 17990.8856924833. The cubic root of 323671968 is about 686.5966753474.

The spelling of 323671968 in words is "three hundred twenty-three million, six hundred seventy-one thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 257 288 514 771 1028 1542 2056 2313 3084 4112 4373 4626 6168 8224 8746 9252 12336 13119 17492 18504 24672 26238 34984 37008 39357 52476 69968 74016 78714 104952 139936 157428 209904 314856 419808 629712 1123861 1259424 2247722 3371583 4495444 6743166 8990888 10114749 13486332 17981776 20229498 26972664 35963552 40458996 53945328 80917992 107890656 161835984 323671968