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3130040340 = 2233571767727
BaseRepresentation
bin1011101010010000…
…1010000000010100
322002010201112011000
42322210022000110
522402242242330
61234331343300
7140364622020
oct27244120024
98063645130
103130040340
11136690a6a9
127342b1b30
133ab61549b
142199b7380
15134bce560
hexba90a014

3130040340 has 384 divisors, whose sum is σ = 11976007680. Its totient is φ = 662390784.

The previous prime is 3130040321. The next prime is 3130040359. The reversal of 3130040340 is 430400313.

It is an interprime number because it is at equal distance from previous prime (3130040321) and next prime (3130040359).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 127 ways as a sum of consecutive naturals, for example, 4305057 + ... + 4305783.

It is an arithmetic number, because the mean of its divisors is an integer number (31187520).

Almost surely, 23130040340 is an apocalyptic number.

3130040340 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 3130040340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5988003840).

3130040340 is an abundant number, since it is smaller than the sum of its proper divisors (8845967340).

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

3130040340 is a wasteful number, since it uses less digits than its factorization.

3130040340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 836 (or 828 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 3130040340 is about 55946.7634452611. The cubic root of 3130040340 is about 1462.7944758772.

Adding to 3130040340 its reverse (430400313), we get a palindrome (3560440653).

The spelling of 3130040340 in words is "three billion, one hundred thirty million, forty thousand, three hundred forty".