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31738230 = 235537353
BaseRepresentation
bin111100100010…
…0100101110110
32012201110200000
41321010211312
531111110410
63052132130
7533525166
oct171044566
965643600
1031738230
1116a08447
12a767046
136763224
1443025a6
152bbddc0
hex1e44976

31738230 has 96 divisors (see below), whose sum is σ = 88137504. Its totient is φ = 8211456.

The previous prime is 31738211. The next prime is 31738241. The reversal of 31738230 is 3283713.

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

It is a junction number, because it is equal to n+sod(n) for n = 31738194 and 31738203.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 89734 + ... + 90086.

It is an arithmetic number, because the mean of its divisors is an integer number (918099).

Almost surely, 231738230 is an apocalyptic number.

31738230 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 31738230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44068752).

31738230 is an abundant number, since it is smaller than the sum of its proper divisors (56399274).

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

31738230 is a wasteful number, since it uses less digits than its factorization.

31738230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 31738230 is about 5633.6693193690. The cubic root of 31738230 is about 316.6121432751.

The spelling of 31738230 in words is "thirty-one million, seven hundred thirty-eight thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 37 45 54 74 81 90 111 135 162 185 222 243 270 333 353 370 405 486 555 666 706 810 999 1059 1110 1215 1665 1765 1998 2118 2430 2997 3177 3330 3530 4995 5295 5994 6354 8991 9531 9990 10590 13061 14985 15885 17982 19062 26122 28593 29970 31770 39183 44955 47655 57186 65305 78366 85779 89910 95310 117549 130610 142965 171558 195915 235098 285930 352647 391830 428895 587745 705294 857790 1057941 1175490 1763235 2115882 3173823 3526470 5289705 6347646 10579410 15869115 31738230