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331188640 = 2552069929
BaseRepresentation
bin10011101111011…
…000100110100000
3212002012010101221
4103233120212200
51134241014030
652510304424
711131025356
oct2357304640
9762163357
10331188640
1115aa46a22
1292ab8114
13537cab13
1431db17d6
151e11ee7a
hex13bd89a0

331188640 has 24 divisors (see below), whose sum is σ = 782433540. Its totient is φ = 132475392.

The previous prime is 331188631. The next prime is 331188643. The reversal of 331188640 is 46881133.

331188640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 329349904 + 1838736 = 18148^2 + 1356^2 .

It is a junction number, because it is equal to n+sod(n) for n = 331188596 and 331188605.

It is not an unprimeable number, because it can be changed into a prime (331188643) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1034805 + ... + 1035124.

Almost surely, 2331188640 is an apocalyptic number.

It is an amenable number.

331188640 is an abundant number, since it is smaller than the sum of its proper divisors (451244900).

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

331188640 is a wasteful number, since it uses less digits than its factorization.

331188640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2069944 (or 2069936 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 331188640 is about 18198.5889562900. The cubic root of 331188640 is about 691.8710263384.

The spelling of 331188640 in words is "three hundred thirty-one million, one hundred eighty-eight thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 2069929 4139858 8279716 10349645 16559432 20699290 33118864 41398580 66237728 82797160 165594320 331188640