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379652 = 227213149
BaseRepresentation
bin1011100101100000100
3201021210012
41130230010
544122102
612045352
73140600
oct1345404
9637705
10379652
1123a269
12163858
13103a60
149c500
1577752
hex5cb04

379652 has 36 divisors (see below), whose sum is σ = 837900. Its totient is φ = 149184.

The previous prime is 379649. The next prime is 379663. The reversal of 379652 is 256973.

379652 = T28 + T29 + ... + T131.

379652 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 50176 + 329476 = 224^2 + 574^2 .

It is a super-2 number, since 2×3796522 = 288271282208, which contains 22 as substring.

Its product of digits (11340) is a multiple of the sum of its prime factors (180).

It is a nialpdrome in base 15.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2474 + ... + 2622.

It is an arithmetic number, because the mean of its divisors is an integer number (23275).

2379652 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 379652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418950).

379652 is an abundant number, since it is smaller than the sum of its proper divisors (458248).

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

379652 is a wasteful number, since it uses less digits than its factorization.

379652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 171 counting only the distinct ones).

The product of its digits is 11340, while the sum is 32.

The square root of 379652 is about 616.1590703706. The cubic root of 379652 is about 72.4094469933.

The spelling of 379652 in words is "three hundred seventy-nine thousand, six hundred fifty-two".

Divisors: 1 2 4 7 13 14 26 28 49 52 91 98 149 182 196 298 364 596 637 1043 1274 1937 2086 2548 3874 4172 7301 7748 13559 14602 27118 29204 54236 94913 189826 379652