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380812432 = 247111323159
BaseRepresentation
bin10110101100101…
…011110010010000
3222112120021110011
4112230223302100
51234441444212
6101442044304
712302565220
oct2654536220
9875507404
10380812432
11185a60020
12a7649694
1360b83c00
143880c080
15236734a7
hex16b2bc90

380812432 has 240 divisors, whose sum is σ = 1045647360. Its totient is φ = 130291200.

The previous prime is 380812409. The next prime is 380812433. The reversal of 380812432 is 234218083.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a junction number, because it is equal to n+sod(n) for n = 380812394 and 380812403.

It is not an unprimeable number, because it can be changed into a prime (380812433) 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, 6454419 + ... + 6454477.

It is an arithmetic number, because the mean of its divisors is an integer number (4356864).

Almost surely, 2380812432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 380812432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522823680).

380812432 is an abundant number, since it is smaller than the sum of its proper divisors (664834928).

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

380812432 is a wasteful number, since it uses less digits than its factorization.

380812432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 380812432 is about 19514.4160045849. The cubic root of 380812432 is about 724.8314674453.

The spelling of 380812432 in words is "three hundred eighty million, eight hundred twelve thousand, four hundred thirty-two".