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306664320 = 2735159721
BaseRepresentation
bin10010010001110…
…101001110000000
3210101001011100210
4102101311032000
51112001224240
650232514120
710412414034
oct2221651600
9711034323
10306664320
11148116496
128684b940
134b6c22a1
142ca2a1c4
151bdc8780
hex12475380

306664320 has 64 divisors (see below), whose sum is σ = 977498640. Its totient is φ = 81776640.

The previous prime is 306664301. The next prime is 306664321. The reversal of 306664320 is 23466603.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×3066643202 = 188086010322124800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (306664321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 77941 + ... + 81780.

Almost surely, 2306664320 is an apocalyptic number.

306664320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

306664320 is an abundant number, since it is smaller than the sum of its proper divisors (670834320).

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

306664320 is a wasteful number, since it uses less digits than its factorization.

306664320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159743 (or 159731 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 30.

The square root of 306664320 is about 17511.8337132352. The cubic root of 306664320 is about 674.3537078669.

The spelling of 306664320 in words is "three hundred six million, six hundred sixty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 159721 319442 479163 638884 798605 958326 1277768 1597210 1916652 2395815 2555536 3194420 3833304 4791630 5111072 6388840 7666608 9583260 10222144 12777680 15333216 19166520 20444288 25555360 30666432 38333040 51110720 61332864 76666080 102221440 153332160 306664320