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380614560 = 25352937739
BaseRepresentation
bin10110101011111…
…011011110100000
3222112012020000120
4112223323132200
51234414131220
6101433520240
712301112304
oct2653733640
9875166016
10380614560
11185935397
12a7573080
1360b14b21
1438799d04
1523634a40
hex16afb7a0

380614560 has 192 divisors, whose sum is σ = 1275523200. Its totient is φ = 95219712.

The previous prime is 380614537. The next prime is 380614657. The reversal of 380614560 is 65416083.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 514671 + ... + 515409.

It is an arithmetic number, because the mean of its divisors is an integer number (6643350).

Almost surely, 2380614560 is an apocalyptic number.

380614560 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 380614560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637761600).

380614560 is an abundant number, since it is smaller than the sum of its proper divisors (894908640).

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

380614560 is a wasteful number, since it uses less digits than its factorization.

380614560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 823 (or 815 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 380614560 is about 19509.3454528849. The cubic root of 380614560 is about 724.7059037045.

The spelling of 380614560 in words is "three hundred eighty million, six hundred fourteen thousand, five hundred sixty".