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374920 = 235713103
BaseRepresentation
bin1011011100010001000
3201001021221
41123202020
543444140
612011424
73121030
oct1334210
9631257
10374920
11236757
12160b74
13101860
149a8c0
157614a
hex5b888

374920 has 64 divisors (see below), whose sum is σ = 1048320. Its totient is φ = 117504.

The previous prime is 374909. The next prime is 374929. The reversal of 374920 is 29473.

374920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 374920.

It is not an unprimeable number, because it can be changed into a prime (374929) by changing a digit.

374920 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 15 ways as a sum of consecutive naturals, for example, 3589 + ... + 3691.

It is an arithmetic number, because the mean of its divisors is an integer number (16380).

2374920 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 374920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524160).

374920 is an abundant number, since it is smaller than the sum of its proper divisors (673400).

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

374920 is a wasteful number, since it uses less digits than its factorization.

374920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 25.

The square root of 374920 is about 612.3071124852. The cubic root of 374920 is about 72.1073501522.

The spelling of 374920 in words is "three hundred seventy-four thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 52 56 65 70 91 103 104 130 140 182 206 260 280 364 412 455 515 520 721 728 824 910 1030 1339 1442 1820 2060 2678 2884 3605 3640 4120 5356 5768 6695 7210 9373 10712 13390 14420 18746 26780 28840 37492 46865 53560 74984 93730 187460 374920