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314342232 = 233193137601
BaseRepresentation
bin10010101111000…
…111101101011000
3210220111020110220
4102233013231120
51120432422412
651105240040
710534602441
oct2257075530
9726436426
10314342232
1115148aa76
1289333020
135017cc29
142da682c8
151c8e368c
hex12bc7b58

314342232 has 128 divisors (see below), whose sum is σ = 878438400. Its totient is φ = 93312000.

The previous prime is 314342209. The next prime is 314342243. The reversal of 314342232 is 232243413.

314342232 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3143422322 = 197622077637483648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 522732 + ... + 523332.

It is an arithmetic number, because the mean of its divisors is an integer number (6862800).

Almost surely, 2314342232 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 314342232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439219200).

314342232 is an abundant number, since it is smaller than the sum of its proper divisors (564096168).

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

314342232 is a wasteful number, since it uses less digits than its factorization.

314342232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 697 (or 693 counting only the distinct ones).

The product of its digits is 3456, while the sum is 24.

The square root of 314342232 is about 17729.6991514239. The cubic root of 314342232 is about 679.9352821914.

Adding to 314342232 its reverse (232243413), we get a palindrome (546585645).

The spelling of 314342232 in words is "three hundred fourteen million, three hundred forty-two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 19 24 31 37 38 57 62 74 76 93 111 114 124 148 152 186 222 228 248 296 372 444 456 589 601 703 744 888 1147 1178 1202 1406 1767 1803 2109 2294 2356 2404 2812 3441 3534 3606 4218 4588 4712 4808 5624 6882 7068 7212 8436 9176 11419 13764 14136 14424 16872 18631 21793 22237 22838 27528 34257 37262 43586 44474 45676 55893 65379 66711 68514 74524 87172 88948 91352 111786 130758 133422 137028 149048 174344 177896 223572 261516 266844 274056 353989 422503 447144 523032 533688 689347 707978 845006 1061967 1267509 1378694 1415956 1690012 2068041 2123934 2535018 2757388 2831912 3380024 4136082 4247868 5070036 5514776 8272164 8495736 10140072 13097593 16544328 26195186 39292779 52390372 78585558 104780744 157171116 314342232