Search a number
-
+
390218832 = 243211323981
BaseRepresentation
bin10111010000100…
…100010001010000
31000012021011121100
4113100210101100
51244344000312
6102415424400
712445543143
oct2720442120
91005234540
10390218832
111902a5203
12aa825100
1362ac8523
1439b7a05a
15243d05dc
hex17424450

390218832 has 60 divisors (see below), whose sum is σ = 1101781044. Its totient is φ = 128916480.

The previous prime is 390218831. The next prime is 390218839. The reversal of 390218832 is 238812093.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1971216 + 388247616 = 1404^2 + 19704^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (390218831) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4282 + ... + 28262.

Almost surely, 2390218832 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 390218832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550890522).

390218832 is an abundant number, since it is smaller than the sum of its proper divisors (711562212).

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

390218832 is a wasteful number, since it uses less digits than its factorization.

390218832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24108 (or 24099 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 390218832 is about 19753.9573756754. The cubic root of 390218832 is about 730.7509829676.

The spelling of 390218832 in words is "three hundred ninety million, two hundred eighteen thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 113 144 226 339 452 678 904 1017 1356 1808 2034 2712 4068 5424 8136 16272 23981 47962 71943 95924 143886 191848 215829 287772 383696 431658 575544 863316 1151088 1726632 2709853 3453264 5419706 8129559 10839412 16259118 21678824 24388677 32518236 43357648 48777354 65036472 97554708 130072944 195109416 390218832