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331345680 = 24351380607
BaseRepresentation
bin10011101111111…
…110111100010000
3212002111002211020
4103233332330100
51134311030210
652513515440
711132251251
oct2357767420
9762432736
10331345680
11160043a06
1292b72b80
1353854443
1432012b28
151e151770
hex13bfef10

331345680 has 40 divisors (see below), whose sum is σ = 1027172352. Its totient is φ = 88358784.

The previous prime is 331345673. The next prime is 331345687. The reversal of 331345680 is 86543133.

331345680 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (331345673) and next prime (331345687).

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (331345687) 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, 690064 + ... + 690543.

Almost surely, 2331345680 is an apocalyptic number.

331345680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

331345680 is an abundant number, since it is smaller than the sum of its proper divisors (695826672).

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

331345680 is a wasteful number, since it uses less digits than its factorization.

331345680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1380623 (or 1380617 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 331345680 is about 18202.9030651707. The cubic root of 331345680 is about 691.9803640836.

The spelling of 331345680 in words is "three hundred thirty-one million, three hundred forty-five thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 1380607 2761214 4141821 5522428 6903035 8283642 11044856 13806070 16567284 20709105 22089712 27612140 33134568 41418210 55224280 66269136 82836420 110448560 165672840 331345680