Search a number
-
+
268934432 = 251322232
BaseRepresentation
bin10000000001111…
…001110100100000
3200202001021200112
4100001321310200
51022321400212
642404110452
76443622254
oct2001716440
9622037615
10268934432
11128896468
1276095428
1343941b00
1427a08264
1518924422
hex10079d20

268934432 has 54 divisors (see below), whose sum is σ = 575908137. Its totient is φ = 123566976.

The previous prime is 268934431. The next prime is 268934437. The reversal of 268934432 is 234439862.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 229946896 + 38987536 = 15164^2 + 6244^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=11596.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 268934432.

It is not an unprimeable number, because it can be changed into a prime (268934431) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1205873 + ... + 1206095.

Almost surely, 2268934432 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 268934432

268934432 is an abundant number, since it is smaller than the sum of its proper divisors (306973705).

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

268934432 is an equidigital number, since it uses as much as digits as its factorization.

268934432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482 (or 238 counting only the distinct ones).

The product of its digits is 248832, while the sum is 41.

The square root of 268934432 is about 16399.2204692784. The cubic root of 268934432 is about 645.4790279990.

The spelling of 268934432 in words is "two hundred sixty-eight million, nine hundred thirty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 104 169 208 223 338 416 446 676 892 1352 1784 2704 2899 3568 5408 5798 7136 11596 23192 37687 46384 49729 75374 92768 99458 150748 198916 301496 397832 602992 646477 795664 1205984 1292954 1591328 2585908 5171816 8404201 10343632 16808402 20687264 33616804 67233608 134467216 268934432