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3009421350 = 23752132973
BaseRepresentation
bin1011001101100000…
…0010000000100110
321202201202110000000
42303120002000212
522130402440400
61214342202130
7134401442115
oct26330020046
97681673000
103009421350
111304815891
126bba23346
1338c6328c0
14207979c7c
15129305600
hexb3602026

3009421350 has 384 divisors, whose sum is σ = 9480643200. Its totient is φ = 705438720.

The previous prime is 3009421333. The next prime is 3009421399. The reversal of 3009421350 is 531249003.

3009421350 is a `hidden beast` number, since 300 + 9 + 4 + 2 + 1 + 350 = 666.

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

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 41224914 + ... + 41224986.

It is an arithmetic number, because the mean of its divisors is an integer number (24689175).

Almost surely, 23009421350 is an apocalyptic number.

3009421350 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3009421350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4740321600).

3009421350 is an abundant number, since it is smaller than the sum of its proper divisors (6471221850).

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

3009421350 is a wasteful number, since it uses less digits than its factorization.

3009421350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 3009421350 is about 54858.1930982055. The cubic root of 3009421350 is about 1443.7577634934.

The spelling of 3009421350 in words is "three billion, nine million, four hundred twenty-one thousand, three hundred fifty".