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31144410 = 232511163193
BaseRepresentation
bin111011011001…
…1100111011010
32011121022002200
41312303213122
530433110120
63031311030
7525503013
oct166634732
964538080
1031144410
1116642290
12a51b476
1365b5b5b
1441ca00a
152b02e90
hex1db39da

31144410 has 96 divisors (see below), whose sum is σ = 89339328. Its totient is φ = 7464960.

The previous prime is 31144397. The next prime is 31144423. The reversal of 31144410 is 1444113.

It is an interprime number because it is at equal distance from previous prime (31144397) and next prime (31144423).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 161274 + ... + 161466.

It is an arithmetic number, because the mean of its divisors is an integer number (930618).

Almost surely, 231144410 is an apocalyptic number.

31144410 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 31144410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44669664).

31144410 is an abundant number, since it is smaller than the sum of its proper divisors (58194918).

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

31144410 is a wasteful number, since it uses less digits than its factorization.

31144410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 31144410 is about 5580.7176957807. The cubic root of 31144410 is about 314.6251019882.

Adding to 31144410 its reverse (1444113), we get a palindrome (32588523).

It can be divided in two parts, 31 and 144410, that added together give a palindrome (144441).

The spelling of 31144410 in words is "thirty-one million, one hundred forty-four thousand, four hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 163 165 193 198 326 330 386 489 495 579 815 965 978 990 1158 1467 1630 1737 1793 1930 2123 2445 2895 2934 3474 3586 4246 4890 5379 5790 6369 7335 8685 8965 10615 10758 12738 14670 16137 17370 17930 19107 21230 26895 31459 31845 32274 38214 53790 62918 63690 80685 94377 95535 157295 161370 188754 191070 283131 314590 346049 471885 566262 692098 943770 1038147 1415655 1730245 2076294 2831310 3114441 3460490 5190735 6228882 10381470 15572205 31144410