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338276232 = 233276111003
BaseRepresentation
bin10100001010011…
…010111110001000
3212120112012202100
4110022122332020
51143044314412
653322233400
711245205040
oct2412327610
9776465670
10338276232
11163a47a38
1295355860
135510cb68
1432cd8720
151ea6eedc
hex1429af88

338276232 has 96 divisors (see below), whose sum is σ = 1064306880. Its totient is φ = 95057280.

The previous prime is 338276207. The next prime is 338276243. The reversal of 338276232 is 232672833.

It is a happy number.

338276232 is a `hidden beast` number, since 3 + 3 + 8 + 27 + 623 + 2 = 666.

It is a super-2 number, since 2×3382762322 = 228861618272235648, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 25243 + ... + 36245.

It is an arithmetic number, because the mean of its divisors is an integer number (11086530).

Almost surely, 2338276232 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 338276232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532153440).

338276232 is an abundant number, since it is smaller than the sum of its proper divisors (726030648).

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

338276232 is a wasteful number, since it uses less digits than its factorization.

338276232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11083 (or 11076 counting only the distinct ones).

The product of its digits is 72576, while the sum is 36.

The square root of 338276232 is about 18392.2872965817. The cubic root of 338276232 is about 696.7716866878.

The spelling of 338276232 in words is "three hundred thirty-eight million, two hundred seventy-six thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 61 63 72 84 122 126 168 183 244 252 366 427 488 504 549 732 854 1098 1281 1464 1708 2196 2562 3416 3843 4392 5124 7686 10248 11003 15372 22006 30744 33009 44012 66018 77021 88024 99027 132036 154042 198054 231063 264072 308084 396108 462126 616168 671183 693189 792216 924252 1342366 1386378 1848504 2013549 2684732 2772756 4027098 4698281 5369464 5545512 6040647 8054196 9396562 12081294 14094843 16108392 18793124 24162588 28189686 37586248 42284529 48325176 56379372 84569058 112758744 169138116 338276232