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3130276416 = 26319782759
BaseRepresentation
bin1011101010010100…
…0011101001000000
322002011011111222120
42322211003221000
522402322321131
61234340404240
7140366624211
oct27245035100
98064144876
103130276416
111366a61003
127343a6680
133ab698a87
14219a39408
15134c29496
hexba943a40

3130276416 has 56 divisors (see below), whose sum is σ = 8324331840. Its totient is φ = 1038116352.

The previous prime is 3130276403. The next prime is 3130276417. The reversal of 3130276416 is 6146720313.

It is not an unprimeable number, because it can be changed into a prime (3130276417) 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 7 ways as a sum of consecutive naturals, for example, 3556 + ... + 79203.

Almost surely, 23130276416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3130276416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4162165920).

3130276416 is an abundant number, since it is smaller than the sum of its proper divisors (5194055424).

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

3130276416 is a wasteful number, since it uses less digits than its factorization.

3130276416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82971 (or 82961 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 3130276416 is about 55948.8732326219. The cubic root of 3130276416 is about 1462.8312509078.

Adding to 3130276416 its reverse (6146720313), we get a palindrome (9276996729).

The spelling of 3130276416 in words is "three billion, one hundred thirty million, two hundred seventy-six thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 197 394 591 788 1182 1576 2364 3152 4728 6304 9456 12608 18912 37824 82759 165518 248277 331036 496554 662072 993108 1324144 1986216 2648288 3972432 5296576 7944864 15889728 16303523 32607046 48910569 65214092 97821138 130428184 195642276 260856368 391284552 521712736 782569104 1043425472 1565138208 3130276416