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383914080 = 25345112693
BaseRepresentation
bin10110111000100…
…001000001100000
3222202101212010000
4112320201001200
51241240222310
6102032340000
712341134014
oct2670410140
9882355100
10383914080
11187789370
12a86a4600
13616cb8c4
1438db8544
1523a874c0
hex16e21060

383914080 has 240 divisors, whose sum is σ = 1478618064. Its totient is φ = 93035520.

The previous prime is 383914079. The next prime is 383914117. The reversal of 383914080 is 80419383.

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 39 ways as a sum of consecutive naturals, for example, 141214 + ... + 143906.

Almost surely, 2383914080 is an apocalyptic number.

383914080 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 383914080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (739309032).

383914080 is an abundant number, since it is smaller than the sum of its proper divisors (1094703984).

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

383914080 is a wasteful number, since it uses less digits than its factorization.

383914080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2731 (or 2714 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 383914080 is about 19593.7255263005. The cubic root of 383914080 is about 726.7940223248.

The spelling of 383914080 in words is "three hundred eighty-three million, nine hundred fourteen thousand, eighty".