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328564480 = 2851971303
BaseRepresentation
bin10011100101010…
…111111100000000
3211220020210201211
4103211113330000
51133103030410
652334135504
711066515636
oct2345277400
9756223654
10328564480
111595143a2
1292051594
13530bc56a
14318cb356
151dca268a
hex13957f00

328564480 has 72 divisors (see below), whose sum is σ = 791616672. Its totient is φ = 130658304.

The previous prime is 328564471. The next prime is 328564487. The reversal of 328564480 is 84465823.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (328564487) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 251509 + ... + 252811.

It is an arithmetic number, because the mean of its divisors is an integer number (10994676).

Almost surely, 2328564480 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 328564480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395808336).

328564480 is an abundant number, since it is smaller than the sum of its proper divisors (463052192).

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

328564480 is a wasteful number, since it uses less digits than its factorization.

328564480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1521 (or 1507 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 40.

The square root of 328564480 is about 18126.3476740352. The cubic root of 328564480 is about 690.0388411938.

The spelling of 328564480 in words is "three hundred twenty-eight million, five hundred sixty-four thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 197 256 320 394 640 788 985 1280 1303 1576 1970 2606 3152 3940 5212 6304 6515 7880 10424 12608 13030 15760 20848 25216 26060 31520 41696 50432 52120 63040 83392 104240 126080 166784 208480 252160 256691 333568 416960 513382 833920 1026764 1283455 1667840 2053528 2566910 4107056 5133820 8214112 10267640 16428224 20535280 32856448 41070560 65712896 82141120 164282240 328564480