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324499968 = 2932135417
BaseRepresentation
bin10011010101110…
…111101000000000
3211121121022021100
4103111313220000
51131032444333
652111054400
711020130022
oct2325675000
9747538240
10324499968
111571986a1
1290811400
13522c8520
1431150012
151d74d213
hex13577a00

324499968 has 120 divisors (see below), whose sum is σ = 1008755748. Its totient is φ = 99827712.

The previous prime is 324499957. The next prime is 324499991. The reversal of 324499968 is 869994423.

It can be written as a sum of positive squares in 2 ways, for example, as 264777984 + 59721984 = 16272^2 + 7728^2 .

It is a nude number because it is divisible by every one of its digits.

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 11 ways as a sum of consecutive naturals, for example, 57196 + ... + 62612.

Almost surely, 2324499968 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 324499968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504377874).

324499968 is an abundant number, since it is smaller than the sum of its proper divisors (684255780).

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

324499968 is a wasteful number, since it uses less digits than its factorization.

324499968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5454 (or 5435 counting only the distinct ones).

The product of its digits is 3359232, while the sum is 54.

The square root of 324499968 is about 18013.8826464480. The cubic root of 324499968 is about 687.1816482220.

The spelling of 324499968 in words is "three hundred twenty-four million, four hundred ninety-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 256 288 312 384 416 468 512 576 624 768 832 936 1152 1248 1536 1664 1872 2304 2496 3328 3744 4608 4992 5417 6656 7488 9984 10834 14976 16251 19968 21668 29952 32502 43336 48753 59904 65004 70421 86672 97506 130008 140842 173344 195012 211263 260016 281684 346688 390024 422526 520032 563368 633789 693376 780048 845052 1040064 1126736 1267578 1386752 1560096 1690104 2080128 2253472 2535156 2773504 3120192 3380208 4160256 4506944 5070312 6240384 6760416 8320512 9013888 10140624 12480768 13520832 18027776 20281248 24961536 27041664 36055552 40562496 54083328 81124992 108166656 162249984 324499968