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382026960 = 243257229331
BaseRepresentation
bin10110110001010…
…100010011010000
3222121211222110200
4112301110103100
51240244330320
6101524055200
712316114140
oct2661242320
9877758420
10382026960
1118670a567
12a7b34500
13611ba973
1438a46920
1523813290
hex16c544d0

382026960 has 240 divisors, whose sum is σ = 1477107840. Its totient is φ = 86676480.

The previous prime is 382026937. The next prime is 382027003. The reversal of 382026960 is 69620283.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1153995 + ... + 1154325.

It is an arithmetic number, because the mean of its divisors is an integer number (6154616).

Almost surely, 2382026960 is an apocalyptic number.

382026960 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 382026960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (738553920).

382026960 is an abundant number, since it is smaller than the sum of its proper divisors (1095080880).

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

382026960 is a wasteful number, since it uses less digits than its factorization.

382026960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 586 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 382026960 is about 19545.5099703231. The cubic root of 382026960 is about 725.6012198783.

The spelling of 382026960 in words is "three hundred eighty-two million, twenty-six thousand, nine hundred sixty".