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3130296 = 2331379127
BaseRepresentation
bin1011111100001110111000
312220000221220
423330032320
51300132141
6151032040
735415141
oct13741670
95800856
103130296
111848924
12106b620
13857a60
145b6ac8
1541c766
hex2fc3b8

3130296 has 64 divisors (see below), whose sum is σ = 8601600. Its totient is φ = 943488.

The previous prime is 3130291. The next prime is 3130297. The reversal of 3130296 is 6920313.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3130291) 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 15 ways as a sum of consecutive naturals, for example, 24585 + ... + 24711.

It is an arithmetic number, because the mean of its divisors is an integer number (134400).

Almost surely, 23130296 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 3130296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4300800).

3130296 is an abundant number, since it is smaller than the sum of its proper divisors (5471304).

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

3130296 is a wasteful number, since it uses less digits than its factorization.

3130296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

The square root of 3130296 is about 1769.2642538637. The cubic root of 3130296 is about 146.2834301546.

The spelling of 3130296 in words is "three million, one hundred thirty thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 79 104 127 156 158 237 254 312 316 381 474 508 632 762 948 1016 1027 1524 1651 1896 2054 3048 3081 3302 4108 4953 6162 6604 8216 9906 10033 12324 13208 19812 20066 24648 30099 39624 40132 60198 80264 120396 130429 240792 260858 391287 521716 782574 1043432 1565148 3130296