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31017330 = 2345149257
BaseRepresentation
bin111011001010…
…0100101110010
32011100211210000
41312110211302
530420023310
63024450430
7524433351
oct166244562
964324700
1031017330
1116565863
12a479a16
136570066
144195998
152aca4c0
hex1d94972

31017330 has 80 divisors (see below), whose sum is σ = 84288600. Its totient is φ = 8183808.

The previous prime is 31017307. The next prime is 31017347. The reversal of 31017330 is 3371013.

It can be written as a sum of positive squares in 4 ways, for example, as 27342441 + 3674889 = 5229^2 + 1917^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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 39 ways as a sum of consecutive naturals, for example, 120562 + ... + 120818.

Almost surely, 231017330 is an apocalyptic number.

31017330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 31017330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42144300).

31017330 is an abundant number, since it is smaller than the sum of its proper divisors (53271270).

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

31017330 is a wasteful number, since it uses less digits than its factorization.

31017330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 189, while the sum is 18.

The square root of 31017330 is about 5569.3204253302. The cubic root of 31017330 is about 314.1965921050.

Adding to 31017330 its reverse (3371013), we get a palindrome (34388343).

The spelling of 31017330 in words is "thirty-one million, seventeen thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 149 162 257 270 298 405 447 514 745 771 810 894 1285 1341 1490 1542 2235 2313 2570 2682 3855 4023 4470 4626 6705 6939 7710 8046 11565 12069 13410 13878 20115 20817 23130 24138 34695 38293 40230 41634 60345 69390 76586 104085 114879 120690 191465 208170 229758 344637 382930 574395 689274 1033911 1148790 1723185 2067822 3101733 3446370 5169555 6203466 10339110 15508665 31017330