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311412324 = 223172952639
BaseRepresentation
bin10010100011111…
…100011001100100
3210200222101101210
4102203330121210
51114210143244
650522351420
710500650436
oct2243743144
9720871353
10311412324
1114a869763
128835b570
134c695462
142d504656
151c5154b9
hex128fc664

311412324 has 48 divisors (see below), whose sum is σ = 795916800. Its totient is φ = 94327296.

The previous prime is 311412317. The next prime is 311412347. The reversal of 311412324 is 423214113.

311412324 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 311412324.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20404 + ... + 32235.

It is an arithmetic number, because the mean of its divisors is an integer number (16581600).

Almost surely, 2311412324 is an apocalyptic number.

311412324 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

311412324 is an abundant number, since it is smaller than the sum of its proper divisors (484504476).

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

311412324 is a wasteful number, since it uses less digits than its factorization.

311412324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52692 (or 52690 counting only the distinct ones).

The product of its digits is 576, while the sum is 21.

The square root of 311412324 is about 17646.8785908443. The cubic root of 311412324 is about 677.8161804472.

Adding to 311412324 its reverse (423214113), we get a palindrome (734626437).

The spelling of 311412324 in words is "three hundred eleven million, four hundred twelve thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 12 17 29 34 51 58 68 87 102 116 174 204 348 493 986 1479 1972 2958 5916 52639 105278 157917 210556 315834 631668 894863 1526531 1789726 2684589 3053062 3579452 4579593 5369178 6106124 9159186 10738356 18318372 25951027 51902054 77853081 103804108 155706162 311412324