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306464040 = 23335283763
BaseRepresentation
bin10010010001000…
…100010100101000
3210100122222122000
4102101010110220
51111423322130
650224331000
710410621111
oct2221042450
9710588560
10306464040
11147a99a73
1286773a60
134b65208c
142c9b7208
151bd89260
hex12444528

306464040 has 64 divisors (see below), whose sum is σ = 1021550400. Its totient is φ = 81723456.

The previous prime is 306464009. The next prime is 306464063. The reversal of 306464040 is 40464603.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 306463995 and 306464013.

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, 140802 + ... + 142961.

It is an arithmetic number, because the mean of its divisors is an integer number (15961725).

Almost surely, 2306464040 is an apocalyptic number.

306464040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

306464040 is an abundant number, since it is smaller than the sum of its proper divisors (715086360).

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

306464040 is a wasteful number, since it uses less digits than its factorization.

306464040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283783 (or 283773 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 306464040 is about 17506.1143604170. The cubic root of 306464040 is about 674.2068709026.

The spelling of 306464040 in words is "three hundred six million, four hundred sixty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 283763 567526 851289 1135052 1418815 1702578 2270104 2553867 2837630 3405156 4256445 5107734 5675260 6810312 7661601 8512890 10215468 11350520 12769335 15323202 17025780 20430936 25538670 30646404 34051560 38308005 51077340 61292808 76616010 102154680 153232020 306464040