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380179440 = 24335376771
BaseRepresentation
bin10110101010010…
…001001111110000
3222111101010011000
4112222101033300
51234311220230
6101420322000
712264320604
oct2652211760
9874333130
10380179440
11185668493
12a73a3300
13609c1a64
14386c5504
152359ab60
hex16a913f0

380179440 has 320 divisors, whose sum is σ = 1384197120. Its totient is φ = 95800320.

The previous prime is 380179439. The next prime is 380179487. The reversal of 380179440 is 44971083.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 380179395 and 380179404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5354605 + ... + 5354675.

It is an arithmetic number, because the mean of its divisors is an integer number (4325616).

Almost surely, 2380179440 is an apocalyptic number.

380179440 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 380179440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (692098560).

380179440 is an abundant number, since it is smaller than the sum of its proper divisors (1004017680).

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

380179440 is a wasteful number, since it uses less digits than its factorization.

380179440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 380179440 is about 19498.1906852918. The cubic root of 380179440 is about 724.4296362272.

The spelling of 380179440 in words is "three hundred eighty million, one hundred seventy-nine thousand, four hundred forty".