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328742064 = 2435747257
BaseRepresentation
bin10011100110000…
…011010010110000
3211220120211100000
4103212003102300
51133124221224
652342030000
711101155450
oct2346032260
9756524300
10328742064
11159625862
1292118300
1353152341
1431935d60
151dcda0c9
hex139834b0

328742064 has 240 divisors, whose sum is σ = 1117928448. Its totient is φ = 91570176.

The previous prime is 328742053. The next prime is 328742069. The reversal of 328742064 is 460247823.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (328742069) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1279024 + ... + 1279280.

Almost surely, 2328742064 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 328742064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558964224).

328742064 is an abundant number, since it is smaller than the sum of its proper divisors (789186384).

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

328742064 is a wasteful number, since it uses less digits than its factorization.

328742064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 328742064 is about 18131.2455170625. The cubic root of 328742064 is about 690.1631372297.

Adding to 328742064 its reverse (460247823), we get a palindrome (788989887).

The spelling of 328742064 in words is "three hundred twenty-eight million, seven hundred forty-two thousand, sixty-four".