Search a number
-
+
386045352 = 23357112579
BaseRepresentation
bin10111000000101…
…001010110101000
3222220102010200000
4113000221112220
51242311422402
6102150143000
712365221440
oct2700512650
9886363600
10386045352
11188a04650
12a9351a60
1361c96a04
14393b1120
1523d58c1c
hex170295a8

386045352 has 192 divisors, whose sum is σ = 1352332800. Its totient is φ = 100232640.

The previous prime is 386045347. The next prime is 386045371. The reversal of 386045352 is 253540683.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 148399 + ... + 150977.

It is an arithmetic number, because the mean of its divisors is an integer number (7043400).

Almost surely, 2386045352 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 386045352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (676166400).

386045352 is an abundant number, since it is smaller than the sum of its proper divisors (966287448).

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

386045352 is a wasteful number, since it uses less digits than its factorization.

386045352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2618 (or 2602 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 386045352 is about 19648.0368484996. The cubic root of 386045352 is about 728.1364565286.

It can be divided in two parts, 38604 and 5352, that added together give a triangular number (43956 = T296).

The spelling of 386045352 in words is "three hundred eighty-six million, forty-five thousand, three hundred fifty-two".