Search a number
-
+
379392 = 2931319
BaseRepresentation
bin1011100101000000000
3201021102120
41130220000
544120032
612044240
73140046
oct1345000
9637376
10379392
1123a052
12163680
131038c0
149c396
157762c
hex5ca00

379392 has 80 divisors (see below), whose sum is σ = 1145760. Its totient is φ = 110592.

The previous prime is 379391. The next prime is 379397. The reversal of 379392 is 293973.

379392 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (379391) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19959 + ... + 19977.

It is an arithmetic number, because the mean of its divisors is an integer number (14322).

2379392 is an apocalyptic number.

379392 is a gapful number since it is divisible by the number (32) 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 379392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572880).

379392 is an abundant number, since it is smaller than the sum of its proper divisors (766368).

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

379392 is a wasteful number, since it uses less digits than its factorization.

379392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53 (or 37 counting only the distinct ones).

The product of its digits is 10206, while the sum is 33.

The square root of 379392 is about 615.9480497574. The cubic root of 379392 is about 72.3929136456.

The spelling of 379392 in words is "three hundred seventy-nine thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 32 38 39 48 52 57 64 76 78 96 104 114 128 152 156 192 208 228 247 256 304 312 384 416 456 494 512 608 624 741 768 832 912 988 1216 1248 1482 1536 1664 1824 1976 2432 2496 2964 3328 3648 3952 4864 4992 5928 6656 7296 7904 9728 9984 11856 14592 15808 19968 23712 29184 31616 47424 63232 94848 126464 189696 379392