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268434 = 2341657
BaseRepresentation
bin1000001100010010010
3111122020000
41001202102
532042214
65430430
72165415
oct1014222
9448200
10268434
11173751
1210b416
139524a
146db7c
1554809
hex41892

268434 has 20 divisors (see below), whose sum is σ = 601854. Its totient is φ = 89424.

The previous prime is 268403. The next prime is 268439. The reversal of 268434 is 434862.

It can be written as a sum of positive squares in only one way, i.e., 245025 + 23409 = 495^2 + 153^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 268398 and 268407.

It is not an unprimeable number, because it can be changed into a prime (268439) by changing a digit.

268434 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 667 + ... + 990.

2268434 is an apocalyptic number.

268434 is an abundant number, since it is smaller than the sum of its proper divisors (333420).

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

268434 is a wasteful number, since it uses less digits than its factorization.

268434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1671 (or 1662 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 268434 is about 518.1061667265. The cubic root of 268434 is about 64.5078411235.

The spelling of 268434 in words is "two hundred sixty-eight thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 81 162 1657 3314 4971 9942 14913 29826 44739 89478 134217 268434