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268443324 = 223219439127
BaseRepresentation
bin10000000000000…
…001111010111100
3200201010100000100
4100000001322330
51022210141244
642345401100
76436505412
oct2000017274
9621110010
10268443324
11128590496
1275a99190
13437cc406
142791b2b2
1518878b69
hex10001ebc

268443324 has 72 divisors (see below), whose sum is σ = 730970240. Its totient is φ = 82791072.

The previous prime is 268443323. The next prime is 268443341. The reversal of 268443324 is 423344862.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268443323) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24849 + ... + 33975.

Almost surely, 2268443324 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 268443324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365485120).

268443324 is an abundant number, since it is smaller than the sum of its proper divisors (462526916).

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

268443324 is a wasteful number, since it uses less digits than its factorization.

268443324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9199 (or 9194 counting only the distinct ones).

The product of its digits is 110592, while the sum is 36.

The square root of 268443324 is about 16384.2401105453. The cubic root of 268443324 is about 645.0858800377.

The spelling of 268443324 in words is "two hundred sixty-eight million, four hundred forty-three thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 43 57 76 86 114 129 171 172 228 258 342 387 516 684 774 817 1548 1634 2451 3268 4902 7353 9127 9804 14706 18254 27381 29412 36508 54762 82143 109524 164286 173413 328572 346826 392461 520239 693652 784922 1040478 1177383 1560717 1569844 2080956 2354766 3121434 3532149 4709532 6242868 7064298 7456759 14128596 14913518 22370277 29827036 44740554 67110831 89481108 134221662 268443324