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379320 = 233529109
BaseRepresentation
bin1011100100110111000
3201021022220
41130212320
544114240
612044040
73136614
oct1344670
9637286
10379320
11239a97
12163620
13103866
149c344
15775d0
hex5c9b8

379320 has 64 divisors (see below), whose sum is σ = 1188000. Its totient is φ = 96768.

The previous prime is 379319. The next prime is 379333. The reversal of 379320 is 23973.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 379320.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3426 + ... + 3534.

2379320 is an apocalyptic number.

379320 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 379320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594000).

379320 is an abundant number, since it is smaller than the sum of its proper divisors (808680).

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

379320 is a wasteful number, since it uses less digits than its factorization.

379320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 24.

The square root of 379320 is about 615.8896004967. The cubic root of 379320 is about 72.3883338447.

The spelling of 379320 in words is "three hundred seventy-nine thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 40 58 60 87 109 116 120 145 174 218 232 290 327 348 435 436 545 580 654 696 870 872 1090 1160 1308 1635 1740 2180 2616 3161 3270 3480 4360 6322 6540 9483 12644 13080 15805 18966 25288 31610 37932 47415 63220 75864 94830 126440 189660 379320