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3141292 = 2272113147
BaseRepresentation
bin1011111110111010101100
312220121001011
423332322230
51301010132
6151155004
735462200
oct13767254
95817034
103141292
111856110
121075a64
1385ca6b
145bab00
15420b47
hex2feeac

3141292 has 72 divisors (see below), whose sum is σ = 7354368. Its totient is φ = 1159200.

The previous prime is 3141283. The next prime is 3141319. The reversal of 3141292 is 2921413.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66813 + ... + 66859.

It is an arithmetic number, because the mean of its divisors is an integer number (102144).

Almost surely, 23141292 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 3141292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3677184).

3141292 is an abundant number, since it is smaller than the sum of its proper divisors (4213076).

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

3141292 is a wasteful number, since it uses less digits than its factorization.

3141292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 98 counting only the distinct ones).

The product of its digits is 432, while the sum is 22.

The square root of 3141292 is about 1772.3690360644. The cubic root of 3141292 is about 146.4545165097.

The spelling of 3141292 in words is "three million, one hundred forty-one thousand, two hundred ninety-two".

Divisors: 1 2 4 7 11 14 22 28 31 44 47 49 62 77 94 98 124 154 188 196 217 308 329 341 434 517 539 658 682 868 1034 1078 1316 1364 1457 1519 2068 2156 2303 2387 2914 3038 3619 4606 4774 5828 6076 7238 9212 9548 10199 14476 16027 16709 20398 25333 32054 33418 40796 50666 64108 66836 71393 101332 112189 142786 224378 285572 448756 785323 1570646 3141292