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31730292 = 22341129307
BaseRepresentation
bin111100100001…
…0101001110100
32012201001210000
41321002221310
531110332132
63052031300
7533463066
oct171025164
965631700
1031730292
1116a02490
12a762530
13675c729
1442dd736
152bbb87c
hex1e42a74

31730292 has 120 divisors (see below), whose sum is σ = 93915360. Its totient is φ = 9253440.

The previous prime is 31730273. The next prime is 31730297. The reversal of 31730292 is 29203713.

It is a super-2 number, since 2×317302922 = 2013622860810528, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31730297) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 103203 + ... + 103509.

It is an arithmetic number, because the mean of its divisors is an integer number (782628).

Almost surely, 231730292 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 31730292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46957680).

31730292 is an abundant number, since it is smaller than the sum of its proper divisors (62185068).

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

31730292 is a wasteful number, since it uses less digits than its factorization.

31730292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 31730292 is about 5632.9647611183. The cubic root of 31730292 is about 316.5857452818.

The spelling of 31730292 in words is "thirty-one million, seven hundred thirty thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 29 33 36 44 54 58 66 81 87 99 108 116 132 162 174 198 261 297 307 319 324 348 396 522 594 614 638 783 891 921 957 1044 1188 1228 1276 1566 1782 1842 1914 2349 2763 2871 3132 3377 3564 3684 3828 4698 5526 5742 6754 8289 8613 8903 9396 10131 11052 11484 13508 16578 17226 17806 20262 24867 25839 26709 30393 33156 34452 35612 40524 49734 51678 53418 60786 80127 91179 97933 99468 103356 106836 121572 160254 182358 195866 240381 273537 293799 320508 364716 391732 480762 547074 587598 721143 881397 961524 1094148 1175196 1442286 1762794 2644191 2884572 3525588 5288382 7932573 10576764 15865146 31730292