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31742298 = 23272172973
BaseRepresentation
bin111100100010…
…1100101011010
32012201200020200
41321011211122
531111223143
63052203030
7533543100
oct171054532
965650220
1031742298
1116a10505
12a769476
136765033
144303c70
152bc01d3
hex1e4595a

31742298 has 144 divisors (see below), whose sum is σ = 88831080. Its totient is φ = 8128512.

The previous prime is 31742257. The next prime is 31742311. The reversal of 31742298 is 89224713.

It can be written as a sum of positive squares in 4 ways, for example, as 30503529 + 1238769 = 5523^2 + 1113^2 .

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 434790 + ... + 434862.

Almost surely, 231742298 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31742298, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44415540).

31742298 is an abundant number, since it is smaller than the sum of its proper divisors (57088782).

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

31742298 is a wasteful number, since it uses less digits than its factorization.

31742298 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 131 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 31742298 is about 5634.0303513559. The cubic root of 31742298 is about 316.6256697926.

The spelling of 31742298 in words is "thirty-one million, seven hundred forty-two thousand, two hundred ninety-eight".

Divisors: 1 2 3 6 7 9 14 17 18 21 29 34 42 49 51 58 63 73 87 98 102 119 126 146 147 153 174 203 219 238 261 294 306 357 406 438 441 493 511 522 609 657 714 833 882 986 1022 1071 1218 1241 1314 1421 1479 1533 1666 1827 2117 2142 2482 2499 2842 2958 3066 3451 3577 3654 3723 4234 4263 4437 4599 4998 6351 6902 7154 7446 7497 8526 8687 8874 9198 10353 10731 11169 12702 12789 14819 14994 17374 19053 20706 21462 22338 24157 25578 26061 29638 31059 32193 35989 38106 44457 48314 52122 60809 62118 64386 71978 72471 78183 88914 103733 107967 121618 133371 144942 156366 182427 207466 215934 217413 251923 266742 311199 323901 364854 434826 503846 547281 622398 647802 755769 933597 1094562 1511538 1763461 1867194 2267307 3526922 4534614 5290383 10580766 15871149 31742298