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323934864 = 2431117151239
BaseRepresentation
bin10011010011101…
…101101010010000
3211120112121002120
4103103231222100
51130411403424
652051014240
711012254341
oct2323555220
9746477076
10323934864
11156942070
129059a380
135215b246
14310440c8
151d68aa79
hex134eda90

323934864 has 160 divisors (see below), whose sum is σ = 977080320. Its totient is φ = 91392000.

The previous prime is 323934797. The next prime is 323934869. The reversal of 323934864 is 468439323.

It is a super-2 number, since 2×3239348642 = 209867592229396992, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (323934869) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1355257 + ... + 1355495.

It is an arithmetic number, because the mean of its divisors is an integer number (6106752).

Almost surely, 2323934864 is an apocalyptic number.

323934864 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 323934864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488540160).

323934864 is an abundant number, since it is smaller than the sum of its proper divisors (653145456).

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

323934864 is a wasteful number, since it uses less digits than its factorization.

323934864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 423 counting only the distinct ones).

The product of its digits is 373248, while the sum is 42.

The square root of 323934864 is about 17998.1905757218. The cubic root of 323934864 is about 686.7825164554.

The spelling of 323934864 in words is "three hundred twenty-three million, nine hundred thirty-four thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 33 34 44 48 51 66 68 88 102 132 136 151 176 187 204 239 264 272 302 374 408 453 478 528 561 604 717 748 816 906 956 1122 1208 1434 1496 1661 1812 1912 2244 2416 2567 2629 2868 2992 3322 3624 3824 4063 4488 4983 5134 5258 5736 6644 7248 7701 7887 8126 8976 9966 10268 10516 11472 12189 13288 15402 15774 16252 19932 20536 21032 24378 26576 28237 30804 31548 32504 36089 39864 41072 42064 44693 48756 56474 61608 63096 65008 72178 79728 84711 89386 97512 108267 112948 123216 126192 134079 144356 169422 178772 195024 216534 225896 268158 288712 338844 357544 396979 433068 451792 536316 577424 613513 677688 715088 793958 866136 1072632 1190937 1227026 1355376 1587916 1732272 1840539 2145264 2381874 2454052 3175832 3681078 4763748 4908104 6351664 6748643 7362156 9527496 9816208 13497286 14724312 19054992 20245929 26994572 29448624 40491858 53989144 80983716 107978288 161967432 323934864