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390734292 = 2231331431879
BaseRepresentation
bin10111010010100…
…010000111010100
31000020020100200110
4113102202013110
51300011444132
6102434443020
712453121014
oct2722420724
91006210613
10390734292
11190617503
12aaa33470
1362c49030
1439c71c44
15244831cc
hex174a21d4

390734292 has 96 divisors (see below), whose sum is σ = 1037639680. Its totient is φ = 113581440.

The previous prime is 390734291. The next prime is 390734303. The reversal of 390734292 is 292437093.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 390734292.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (390734291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 207009 + ... + 208887.

Almost surely, 2390734292 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 390734292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518819840).

390734292 is an abundant number, since it is smaller than the sum of its proper divisors (646905388).

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

390734292 is a wasteful number, since it uses less digits than its factorization.

390734292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1973 (or 1971 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 39.

The square root of 390734292 is about 19767.0000758840. Note that the first 4 decimals coincide. The cubic root of 390734292 is about 731.0726035020.

It can be divided in two parts, 39073 and 4292, that added together give a triangular number (43365 = T294).

The spelling of 390734292 in words is "three hundred ninety million, seven hundred thirty-four thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 12 13 26 31 39 43 52 62 78 86 93 124 129 156 172 186 258 372 403 516 559 806 1118 1209 1333 1612 1677 1879 2236 2418 2666 3354 3758 3999 4836 5332 5637 6708 7516 7998 11274 15996 17329 22548 24427 34658 48854 51987 58249 69316 73281 80797 97708 103974 116498 146562 161594 174747 207948 232996 242391 293124 323188 349494 484782 698988 757237 969564 1050361 1514474 2100722 2271711 2504707 3028948 3151083 4201444 4543422 5009414 6302166 7514121 9086844 10018828 12604332 15028242 30056484 32561191 65122382 97683573 130244764 195367146 390734292