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380522880 = 2733519261
BaseRepresentation
bin10110101011100…
…101000110000000
3222112000120021000
4112223211012000
51234403213010
6101431532000
712300251103
oct2653450600
9875016230
10380522880
11185882521
12a752a000
1360ab218a
143877473a
15236177c0
hex16ae5180

380522880 has 384 divisors, whose sum is σ = 1445666400. Its totient is φ = 94556160.

The previous prime is 380522839. The next prime is 380522887. The reversal of 380522880 is 88225083.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (380522887) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6238050 + ... + 6238110.

Almost surely, 2380522880 is an apocalyptic number.

380522880 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 380522880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (722833200).

380522880 is an abundant number, since it is smaller than the sum of its proper divisors (1065143520).

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

380522880 is a wasteful number, since it uses less digits than its factorization.

380522880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 380522880 is about 19506.9956682212. The cubic root of 380522880 is about 724.6477115248.

The spelling of 380522880 in words is "three hundred eighty million, five hundred twenty-two thousand, eight hundred eighty".