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304880040 = 2332517311607
BaseRepresentation
bin10010001011000…
…001100110101000
3210020200111210100
4102023001212220
51111022130130
650130345400
710361303043
oct2213014650
9706614710
10304880040
11147107983
128612b260
134b2190ba
142c6c3c5a
151bb74c60
hex122c19a8

304880040 has 192 divisors, whose sum is σ = 1083663360. Its totient is φ = 74004480.

The previous prime is 304880033. The next prime is 304880053. The reversal of 304880040 is 40088403.

It is a junction number, because it is equal to n+sod(n) for n = 304879986 and 304880013.

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 47 ways as a sum of consecutive naturals, for example, 188917 + ... + 190523.

It is an arithmetic number, because the mean of its divisors is an integer number (5644080).

Almost surely, 2304880040 is an apocalyptic number.

304880040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 304880040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541831680).

304880040 is an abundant number, since it is smaller than the sum of its proper divisors (778783320).

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

304880040 is a wasteful number, since it uses less digits than its factorization.

304880040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1672 (or 1665 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 304880040 is about 17460.8144139957. The cubic root of 304880040 is about 673.0432880331.

The spelling of 304880040 in words is "three hundred four million, eight hundred eighty thousand, forty".