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10304002240 = 265723112113
BaseRepresentation
bin10011001100010101…
…01001100011000000
3222121002210112210121
421212022221203000
5132100311032430
64422242310024
7513225400600
oct114612514300
928532715717
1010304002240
114408382434
121bb6958314
13c82989b5c
146da698c00
1540490ca7a
hex2662a98c0

10304002240 has 168 divisors, whose sum is σ = 28647676512. Its totient is φ = 3519774720.

The previous prime is 10304002217. The next prime is 10304002249. The reversal of 10304002240 is 4220040301.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (10304002249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4875424 + ... + 4877536.

It is an arithmetic number, because the mean of its divisors is an integer number (170521884).

Almost surely, 210304002240 is an apocalyptic number.

10304002240 is a gapful number since it is divisible by the number (10) 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 10304002240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14323838256).

10304002240 is an abundant number, since it is smaller than the sum of its proper divisors (18343674272).

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

10304002240 is a wasteful number, since it uses less digits than its factorization.

10304002240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2455 (or 2438 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 10304002240 its reverse (4220040301), we get a palindrome (14524042541).

The spelling of 10304002240 in words is "ten billion, three hundred four million, two thousand, two hundred forty".