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306343680 = 283579777
BaseRepresentation
bin10010010000100…
…110111100000000
3210100102212112020
4102100212330000
51111410444210
650222001440
710406610156
oct2220467400
9710385466
10306343680
11147a175a5
1286716280
134b60c366
142c9853d6
151bd63770
hex12426f00

306343680 has 72 divisors (see below), whose sum is σ = 978397392. Its totient is φ = 81690624.

The previous prime is 306343663. The next prime is 306343711. The reversal of 306343680 is 86343603.

306343680 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36049 + ... + 43728.

Almost surely, 2306343680 is an apocalyptic number.

306343680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

306343680 is an abundant number, since it is smaller than the sum of its proper divisors (672053712).

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

306343680 is an equidigital number, since it uses as much as digits as its factorization.

306343680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79801 (or 79787 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 33.

The square root of 306343680 is about 17502.6763667732. The cubic root of 306343680 is about 674.1185971805.

The spelling of 306343680 in words is "three hundred six million, three hundred forty-three thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 640 768 960 1280 1920 3840 79777 159554 239331 319108 398885 478662 638216 797770 957324 1196655 1276432 1595540 1914648 2393310 2552864 3191080 3829296 4786620 5105728 6382160 7658592 9573240 10211456 12764320 15317184 19146480 20422912 25528640 30634368 38292960 51057280 61268736 76585920 102114560 153171840 306343680