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379623024 = 24341131859
BaseRepresentation
bin10110101000001…
…001011001110000
3222110022211220000
4112220021121300
51234140414044
6101400350000
712256512444
oct2650113160
9873284800
10379623024
11185318440
12a7175300
1360858711
14385bc824
15234dad69
hex16a09670

379623024 has 200 divisors, whose sum is σ = 1238730240. Its totient is φ = 111196800.

The previous prime is 379623001. The next prime is 379623031. The reversal of 379623024 is 420326973.

It is a happy number.

379623024 is a `hidden beast` number, since 3 + 7 + 9 + 623 + 0 + 24 = 666.

It is a super-2 number, since 2×3796230242 = 288227280701809152, which contains 22 as substring.

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

It is a zygodrome in base 3.

It is a self number, because there is not a number n which added to its sum of digits gives 379623024.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 441507 + ... + 442365.

Almost surely, 2379623024 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 379623024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619365120).

379623024 is an abundant number, since it is smaller than the sum of its proper divisors (859107216).

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

379623024 is a wasteful number, since it uses less digits than its factorization.

379623024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 921 (or 906 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 379623024 is about 19483.9170599754. The cubic root of 379623024 is about 724.0760478912.

Adding to 379623024 its reverse (420326973), we get a palindrome (799949997).

The spelling of 379623024 in words is "three hundred seventy-nine million, six hundred twenty-three thousand, twenty-four".