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3096746640 = 243451336761
BaseRepresentation
bin1011100010010100…
…1001101010010000
321222211002000210000
42320211021222100
522320231343030
61231142010000
7136511624601
oct27045115220
97884060700
103096746640
11134a03a649
12725116900
133a4759280
142153cbda8
15131d04860
hexb8949a90

3096746640 has 200 divisors, whose sum is σ = 11583118008. Its totient is φ = 762255360.

The previous prime is 3096746623. The next prime is 3096746641. The reversal of 3096746640 is 466476903.

It can be written as a sum of positive squares in 4 ways, for example, as 165173904 + 2931572736 = 12852^2 + 54144^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3096746641) 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 39 ways as a sum of consecutive naturals, for example, 65860 + ... + 102620.

Almost surely, 23096746640 is an apocalyptic number.

3096746640 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 3096746640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5791559004).

3096746640 is an abundant number, since it is smaller than the sum of its proper divisors (8486371368).

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

3096746640 is a wasteful number, since it uses less digits than its factorization.

3096746640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36799 (or 36784 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The square root of 3096746640 is about 55648.4199236600. The cubic root of 3096746640 is about 1457.5894795051.

The spelling of 3096746640 in words is "three billion, ninety-six million, seven hundred forty-six thousand, six hundred forty".