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379459080 = 23365711132
BaseRepresentation
bin10110100111100…
…001011000001000
3222110000112000000
4112213201120020
51234120142310
6101353043000
712255230460
oct2647413010
9873015000
10379459080
11185216250
12a70b6460
13607cbc00
1438578ba0
15234a74c0
hex169e1608

379459080 has 672 divisors, whose sum is σ = 1728164160. Its totient is φ = 72783360.

The previous prime is 379459063. The next prime is 379459081. The reversal of 379459080 is 80954973.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (379459081) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 29189154 + ... + 29189166.

Almost surely, 2379459080 is an apocalyptic number.

379459080 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 379459080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (864082080).

379459080 is an abundant number, since it is smaller than the sum of its proper divisors (1348705080).

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

379459080 is a wasteful number, since it uses less digits than its factorization.

379459080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 379459080 is about 19479.7094434183. The cubic root of 379459080 is about 723.9717997217.

The spelling of 379459080 in words is "three hundred seventy-nine million, four hundred fifty-nine thousand, eighty".