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306468324 = 223210978101
BaseRepresentation
bin10010010001000…
…101010111100100
3210100200012111200
4102101011113210
51111423441244
650224402500
710410636441
oct2221052744
9710605450
10306468324
11147aa2208
1286776430
134b654006
142c9b89c8
151bd8a669
hex124455e4

306468324 has 36 divisors (see below), whose sum is σ = 781801020. Its totient is φ = 101217600.

The previous prime is 306468311. The next prime is 306468329. The reversal of 306468324 is 423864603.

It is a happy number.

306468324 is a `hidden beast` number, since 3 + 0 + 646 + 8 + 3 + 2 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 238702500 + 67765824 = 15450^2 + 8232^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is not an unprimeable number, because it can be changed into a prime (306468329) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35127 + ... + 42974.

It is an arithmetic number, because the mean of its divisors is an integer number (21716695).

Almost surely, 2306468324 is an apocalyptic number.

It is an amenable number.

306468324 is an abundant number, since it is smaller than the sum of its proper divisors (475332696).

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

306468324 is a wasteful number, since it uses less digits than its factorization.

306468324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78220 (or 78215 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 306468324 is about 17506.2367172388. The cubic root of 306468324 is about 674.2100124227.

The spelling of 306468324 in words is "three hundred six million, four hundred sixty-eight thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 109 218 327 436 654 981 1308 1962 3924 78101 156202 234303 312404 468606 702909 937212 1405818 2811636 8513009 17026018 25539027 34052036 51078054 76617081 102156108 153234162 306468324