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380136384 = 26323161349
BaseRepresentation
bin10110101010000…
…110101111000000
3222111021221002100
4112222012233000
51234303331014
6101415350400
712264051225
oct2652065700
9874257070
10380136384
11185639101
12a7382400
13609a8294
14386b394c
152358d009
hex16a86bc0

380136384 has 168 divisors, whose sum is σ = 1146454400. Its totient is φ = 120268800.

The previous prime is 380136377. The next prime is 380136389. The reversal of 380136384 is 483631083.

It is a happy number.

380136384 is a `hidden beast` number, since 3 + 8 + 0 + 13 + 638 + 4 = 666.

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 (380136389) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1089042 + ... + 1089390.

Almost surely, 2380136384 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 380136384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573227200).

380136384 is an abundant number, since it is smaller than the sum of its proper divisors (766318016).

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

380136384 is a wasteful number, since it uses less digits than its factorization.

380136384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 380136384 is about 19497.0865515851. The cubic root of 380136384 is about 724.4022875451.

The spelling of 380136384 in words is "three hundred eighty million, one hundred thirty-six thousand, three hundred eighty-four".