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31734990 = 2345729193
BaseRepresentation
bin111100100001…
…1110011001110
32012201022020000
41321003303032
531111004430
63052105130
7533512560
oct171036316
965638200
1031734990
1116a05a71
12a7651a6
136761901
144301330
152bbce60
hex1e43cce

31734990 has 160 divisors (see below), whose sum is σ = 101407680. Its totient is φ = 6967296.

The previous prime is 31734977. The next prime is 31734991. The reversal of 31734990 is 9943713.

It is a super-3 number, since 3×317349903 (a number of 23 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31734991) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 164334 + ... + 164526.

It is an arithmetic number, because the mean of its divisors is an integer number (633798).

Almost surely, 231734990 is an apocalyptic number.

31734990 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 31734990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50703840).

31734990 is an abundant number, since it is smaller than the sum of its proper divisors (69672690).

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

31734990 is a wasteful number, since it uses less digits than its factorization.

31734990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 31734990 is about 5633.3817552160. The cubic root of 31734990 is about 316.6013691156.

The spelling of 31734990 in words is "thirty-one million, seven hundred thirty-four thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 29 30 35 42 45 54 58 63 70 81 87 90 105 126 135 145 162 174 189 193 203 210 261 270 290 315 378 386 405 406 435 522 567 579 609 630 783 810 870 945 965 1015 1134 1158 1218 1305 1351 1566 1737 1827 1890 1930 2030 2349 2610 2702 2835 2895 3045 3474 3654 3915 4053 4698 5211 5481 5597 5670 5790 6090 6755 7830 8106 8685 9135 10422 10962 11194 11745 12159 13510 15633 16443 16791 17370 18270 20265 23490 24318 26055 27405 27985 31266 32886 33582 36477 39179 40530 50373 52110 54810 55970 60795 72954 78165 78358 82215 83955 100746 109431 117537 121590 151119 156330 164430 167910 182385 195895 218862 235074 251865 302238 352611 364770 391790 453357 503730 547155 587685 705222 755595 906714 1057833 1094310 1175370 1511190 1763055 2115666 2266785 3173499 3526110 4533570 5289165 6346998 10578330 15867495 31734990