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3130628076 = 2233472332647
BaseRepresentation
bin1011101010011001…
…1001011111101100
322002011211101101000
42322212121133230
522402420044301
61234352120300
7140402620362
oct27246313754
98064741330
103130628076
111367181234
12734536090
133ab78cb64
14219acb632
15134c98786
hexba9997ec

3130628076 has 96 divisors (see below), whose sum is σ = 8327854080. Its totient is φ = 1016572032.

The previous prime is 3130628071. The next prime is 3130628147. The reversal of 3130628076 is 6708260313.

It is a happy number.

3130628076 is a `hidden beast` number, since 3 + 1 + 306 + 280 + 76 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 3130628076.

It is not an unprimeable number, because it can be changed into a prime (3130628071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1181385 + ... + 1184031.

It is an arithmetic number, because the mean of its divisors is an integer number (86748480).

Almost surely, 23130628076 is an apocalyptic number.

3130628076 is a gapful number since it is divisible by the number (36) 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 3130628076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4163927040).

3130628076 is an abundant number, since it is smaller than the sum of its proper divisors (5197226004).

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

3130628076 is a wasteful number, since it uses less digits than its factorization.

3130628076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2940 (or 2932 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 3130628076 is about 55952.0158349992. The cubic root of 3130628076 is about 1462.8860277503.

Adding to 3130628076 its reverse (6708260313), we get a palindrome (9838888389).

The spelling of 3130628076 in words is "three billion, one hundred thirty million, six hundred twenty-eight thousand, seventy-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 47 54 94 108 141 188 233 282 423 466 564 699 846 932 1269 1398 1692 2097 2538 2647 2796 4194 5076 5294 6291 7941 8388 10588 10951 12582 15882 21902 23823 25164 31764 32853 43804 47646 65706 71469 95292 98559 124409 131412 142938 197118 248818 285876 295677 373227 394236 497636 591354 616751 746454 1119681 1182708 1233502 1492908 1850253 2239362 2467004 3359043 3700506 4478724 5550759 6718086 7401012 11101518 13436172 16652277 22203036 28987297 33304554 57974594 66609108 86961891 115949188 173923782 260885673 347847564 521771346 782657019 1043542692 1565314038 3130628076