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320839680 = 213357373
BaseRepresentation
bin10011000111111…
…010000000000000
3211100201100022010
4103013322000000
51124113332210
651500412520
710644043440
oct2307720000
9740640263
10320839680
11155118667
128b547140
1351616485
143087a120
151d278920
hex131fa000

320839680 has 224 divisors, whose sum is σ = 1176430464. Its totient is φ = 73138176.

The previous prime is 320839679. The next prime is 320839693. The reversal of 320839680 is 86938023.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 859974 + ... + 860346.

Almost surely, 2320839680 is an apocalyptic number.

320839680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 320839680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588215232).

320839680 is an abundant number, since it is smaller than the sum of its proper divisors (855590784).

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

320839680 is an equidigital number, since it uses as much as digits as its factorization.

320839680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 320839680 is about 17911.9982134881. The cubic root of 320839680 is about 684.5881197355.

The spelling of 320839680 in words is "three hundred twenty million, eight hundred thirty-nine thousand, six hundred eighty".