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307649040 = 24351281871
BaseRepresentation
bin10010010101100…
…101101000010000
3210102220012010220
4102111211220100
51112224232130
650305553040
710423654656
oct2225455020
9712805126
10307649040
11148729306
1287045780
134b97856a
142cc04dd6
151c020410
hex12565a10

307649040 has 40 divisors (see below), whose sum is σ = 953712768. Its totient is φ = 82039680.

The previous prime is 307649039. The next prime is 307649057. The reversal of 307649040 is 40946703.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 307648992 and 307649010.

It is an unprimeable number.

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, 640696 + ... + 641175.

Almost surely, 2307649040 is an apocalyptic number.

307649040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

307649040 is an abundant number, since it is smaller than the sum of its proper divisors (646063728).

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

307649040 is a wasteful number, since it uses less digits than its factorization.

307649040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1281887 (or 1281881 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 307649040 is about 17539.9270237935. The cubic root of 307649040 is about 675.0747352093.

The spelling of 307649040 in words is "three hundred seven million, six hundred forty-nine thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 1281871 2563742 3845613 5127484 6409355 7691226 10254968 12818710 15382452 19228065 20509936 25637420 30764904 38456130 51274840 61529808 76912260 102549680 153824520 307649040