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468312 = 233131979
BaseRepresentation
bin1110010010101011000
3212210101220
41302111120
5104441222
614012040
73660225
oct1622530
9783356
10468312
1129a939
121a7020
13135210
14c294c
1593b5c
hex72558

468312 has 64 divisors (see below), whose sum is σ = 1344000. Its totient is φ = 134784.

The previous prime is 468289. The next prime is 468319. The reversal of 468312 is 213864.

It is a happy number.

It is a super-2 number, since 2×4683122 = 438632258688, 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 one of the 548 Lynch-Bell numbers.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468319) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5889 + ... + 5967.

It is an arithmetic number, because the mean of its divisors is an integer number (21000).

2468312 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 468312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672000).

468312 is an abundant number, since it is smaller than the sum of its proper divisors (875688).

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

468312 is a wasteful number, since it uses less digits than its factorization.

468312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 116 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 468312 is about 684.3332521513. Note that the first 3 decimals coincide. The cubic root of 468312 is about 77.6566101252.

It can be divided in two parts, 468 and 312, that added together give a triangular number (780 = T39).

The spelling of 468312 in words is "four hundred sixty-eight thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 19 24 26 38 39 52 57 76 78 79 104 114 152 156 158 228 237 247 312 316 456 474 494 632 741 948 988 1027 1482 1501 1896 1976 2054 2964 3002 3081 4108 4503 5928 6004 6162 8216 9006 12008 12324 18012 19513 24648 36024 39026 58539 78052 117078 156104 234156 468312