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268323354 = 23413432963
BaseRepresentation
bin11111111111001…
…00101000011010
3200200220020110000
433333210220122
51022142321404
642343033430
76435465555
oct1777445032
9620806400
10268323354
11128509342
1275a3b876
1343789920
14278c969c
1518853339
hexffe4a1a

268323354 has 80 divisors (see below), whose sum is σ = 662774112. Its totient is φ = 80613792.

The previous prime is 268323353. The next prime is 268323379. The reversal of 268323354 is 453323862.

It is a happy number.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (268323353) 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 39 ways as a sum of consecutive naturals, for example, 89077 + ... + 92039.

Almost surely, 2268323354 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268323354, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331387056).

268323354 is an abundant number, since it is smaller than the sum of its proper divisors (394450758).

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

268323354 is a wasteful number, since it uses less digits than its factorization.

268323354 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3033 (or 3024 counting only the distinct ones).

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

The square root of 268323354 is about 16380.5785612108. The cubic root of 268323354 is about 644.9897672795.

The spelling of 268323354 in words is "two hundred sixty-eight million, three hundred twenty-three thousand, three hundred fifty-four".

Divisors: 1 2 3 6 9 13 18 26 27 39 43 54 78 81 86 117 129 162 234 258 351 387 559 702 774 1053 1118 1161 1677 2106 2322 2963 3354 3483 5031 5926 6966 8889 10062 15093 17778 26667 30186 38519 45279 53334 77038 80001 90558 115557 127409 160002 231114 240003 254818 346671 382227 480006 693342 764454 1040013 1146681 1656317 2080026 2293362 3120039 3312634 3440043 4968951 6240078 6880086 9937902 10320129 14906853 20640258 29813706 44720559 89441118 134161677 268323354