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534294432 = 25327237861
BaseRepresentation
bin11111110110001…
…010111110100000
31101020100222011200
4133312022332200
52043234410212
6125003441200
716145266500
oct3766127640
91336328150
10534294432
11254660351
1212ab26200
1386901969
1450d61a00
1531d8e6dc
hex1fd8afa0

534294432 has 108 divisors (see below), whose sum is σ = 1767511746. Its totient is φ = 152651520.

The previous prime is 534294419. The next prime is 534294433. The reversal of 534294432 is 234492435.

534294432 is a `hidden beast` number, since 534 + 2 + 94 + 4 + 32 = 666.

It can be written as a sum of positive squares in only one way, i.e., 308213136 + 226081296 = 17556^2 + 15036^2 .

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 (534294433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4819 + ... + 33042.

Almost surely, 2534294432 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 534294432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (883755873).

534294432 is an abundant number, since it is smaller than the sum of its proper divisors (1233217314).

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

534294432 is a wasteful number, since it uses less digits than its factorization.

534294432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37891 (or 37873 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

The square root of 534294432 is about 23114.8097980494. The cubic root of 534294432 is about 811.4471067738.

The spelling of 534294432 in words is "five hundred thirty-four million, two hundred ninety-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 72 84 96 98 112 126 144 147 168 196 224 252 288 294 336 392 441 504 588 672 784 882 1008 1176 1568 1764 2016 2352 3528 4704 7056 14112 37861 75722 113583 151444 227166 265027 302888 340749 454332 530054 605776 681498 795081 908664 1060108 1211552 1362996 1590162 1817328 1855189 2120216 2385243 2725992 3180324 3634656 3710378 4240432 4770486 5451984 5565567 6360648 7420756 8480864 9540972 10903968 11131134 12721296 14841512 16696701 19081944 22262268 25442592 29683024 33393402 38163888 44524536 59366048 66786804 76327776 89049072 133573608 178098144 267147216 534294432