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379442448 = 243371121761
BaseRepresentation
bin10110100111011…
…101010100010000
3222102222200012000
4112213131110100
51234114124243
6101352434000
712255131130
oct2647352420
9872880160
10379442448
11185204800
12a70a8900
13607c4478
1438572ac0
15234a25d3
hex169dd510

379442448 has 480 divisors, whose sum is σ = 1472405760. Its totient is φ = 91238400.

The previous prime is 379442447. The next prime is 379442471. The reversal of 379442448 is 844244973.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (379442447) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6220338 + ... + 6220398.

It is an arithmetic number, because the mean of its divisors is an integer number (3067512).

Almost surely, 2379442448 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 379442448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (736202880).

379442448 is an abundant number, since it is smaller than the sum of its proper divisors (1092963312).

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

379442448 is a wasteful number, since it uses less digits than its factorization.

379442448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 101 counting only the distinct ones).

The product of its digits is 774144, while the sum is 45.

The square root of 379442448 is about 19479.2825329887. The cubic root of 379442448 is about 723.9612221429.

The spelling of 379442448 in words is "three hundred seventy-nine million, four hundred forty-two thousand, four hundred forty-eight".