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379120 = 2457677
BaseRepresentation
bin1011100100011110000
3201021001111
41130203300
544112440
612043104
73136210
oct1344360
9637044
10379120
11239925
12163494
13103741
149c240
15774ea
hex5c8f0

379120 has 40 divisors (see below), whose sum is σ = 1008864. Its totient is φ = 129792.

The previous prime is 379103. The next prime is 379123. The reversal of 379120 is 21973.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 379091 and 379100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (379123) by changing a digit.

379120 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 222 + ... + 898.

2379120 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 379120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504432).

379120 is an abundant number, since it is smaller than the sum of its proper divisors (629744).

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

379120 is a wasteful number, since it uses less digits than its factorization.

379120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 697 (or 691 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 22.

The square root of 379120 is about 615.7272123270. The cubic root of 379120 is about 72.3756091338.

The spelling of 379120 in words is "three hundred seventy-nine thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 677 1354 2708 3385 4739 5416 6770 9478 10832 13540 18956 23695 27080 37912 47390 54160 75824 94780 189560 379120