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379239120 = 2432513311307
BaseRepresentation
bin10110100110101…
…011101011010000
3222102121100021100
4112212223223100
51234041122440
6101344224400
712253323261
oct2646535320
9872540240
10379239120
11185085a67
12a700b100
1360752a60
143851c968
1523462230
hex169abad0

379239120 has 240 divisors, whose sum is σ = 1416909312. Its totient is φ = 90270720.

The previous prime is 379239109. The next prime is 379239169. The reversal of 379239120 is 21932973.

379239120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 289507 + ... + 290813.

Almost surely, 2379239120 is an apocalyptic number.

379239120 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 379239120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (708454656).

379239120 is an abundant number, since it is smaller than the sum of its proper divisors (1037670192).

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

379239120 is a wasteful number, since it uses less digits than its factorization.

379239120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1370 (or 1361 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 379239120 is about 19474.0627502327. The cubic root of 379239120 is about 723.8318851037.

The spelling of 379239120 in words is "three hundred seventy-nine million, two hundred thirty-nine thousand, one hundred twenty".