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328141824 = 2103223479
BaseRepresentation
bin10011100011110…
…000110000000000
3211212110022221220
4103203300300000
51133001014244
652321115040
711063105463
oct2343606000
9755408856
10328141824
1115925589a
1291a88a80
1352ca207a
143181b2da
151dc1c319
hex138f0c00

328141824 has 88 divisors (see below), whose sum is σ = 880373760. Its totient is φ = 108662784.

The previous prime is 328141811. The next prime is 328141841. The reversal of 328141824 is 428141823.

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 684817 + ... + 685295.

Almost surely, 2328141824 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 328141824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440186880).

328141824 is an abundant number, since it is smaller than the sum of its proper divisors (552231936).

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

328141824 is a wasteful number, since it uses less digits than its factorization.

328141824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 725 (or 707 counting only the distinct ones).

The product of its digits is 12288, while the sum is 33.

The square root of 328141824 is about 18114.6853133031. The cubic root of 328141824 is about 689.7428321199.

Subtracting 328141824 from its reverse (428141823), we obtain a palindrome (99999999).

The spelling of 328141824 in words is "three hundred twenty-eight million, one hundred forty-one thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 223 256 384 446 479 512 669 768 892 958 1024 1338 1437 1536 1784 1916 2676 2874 3072 3568 3832 5352 5748 7136 7664 10704 11496 14272 15328 21408 22992 28544 30656 42816 45984 57088 61312 85632 91968 106817 114176 122624 171264 183936 213634 228352 245248 320451 342528 367872 427268 490496 640902 685056 735744 854536 1281804 1471488 1709072 2563608 3418144 5127216 6836288 10254432 13672576 20508864 27345152 41017728 54690304 82035456 109380608 164070912 328141824