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390140388 = 22361112163
BaseRepresentation
bin10111010000010…
…001000111100100
31000012010012000000
4113100101013210
51244333443023
6102414021300
712445065351
oct2720210744
91005105000
10390140388
11190251280
12aa7a7830
1362a9b901
1439b59628
15243b7243
hex174111e4

390140388 has 84 divisors (see below), whose sum is σ = 1116801168. Its totient is φ = 118214640.

The previous prime is 390140383. The next prime is 390140407. The reversal of 390140388 is 883041093.

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

It is not an unprimeable number, because it can be changed into a prime (390140383) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 25995 + ... + 38157.

It is an arithmetic number, because the mean of its divisors is an integer number (13295252).

Almost surely, 2390140388 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 390140388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558400584).

390140388 is an abundant number, since it is smaller than the sum of its proper divisors (726660780).

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

390140388 is a wasteful number, since it uses less digits than its factorization.

390140388 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12196 (or 12179 counting only the distinct ones).

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

The square root of 390140388 is about 19751.9717496760. The cubic root of 390140388 is about 730.7020131187.

The spelling of 390140388 in words is "three hundred ninety million, one hundred forty thousand, three hundred eighty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 132 162 198 243 297 324 396 486 594 729 891 972 1188 1458 1782 2673 2916 3564 5346 8019 10692 12163 16038 24326 32076 36489 48652 72978 109467 133793 145956 218934 267586 328401 401379 437868 535172 656802 802758 985203 1204137 1313604 1605516 1970406 2408274 2955609 3612411 3940812 4816548 5911218 7224822 8866827 10837233 11822436 14449644 17733654 21674466 32511699 35467308 43348932 65023398 97535097 130046796 195070194 390140388