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328200768 = 2633743631
BaseRepresentation
bin10011100011111…
…111001001000000
3211212120022211000
4103203333021000
51133004411033
652322252000
711063442360
oct2343771100
9755508730
10328200768
11159296105
1291ab7000
1352cc2b4c
14318349a0
151dc2ea13
hex138ff240

328200768 has 224 divisors, whose sum is σ = 1130117120. Its totient is φ = 91445760.

The previous prime is 328200757. The next prime is 328200781. The reversal of 328200768 is 867002823.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 519813 + ... + 520443.

Almost surely, 2328200768 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 328200768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565058560).

328200768 is an abundant number, since it is smaller than the sum of its proper divisors (801916352).

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

328200768 is a wasteful number, since it uses less digits than its factorization.

328200768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 702 (or 686 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 328200768 is about 18116.3122075107. The cubic root of 328200768 is about 689.7841290678.

The spelling of 328200768 in words is "three hundred twenty-eight million, two hundred thousand, seven hundred sixty-eight".