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31342050 = 23252172241
BaseRepresentation
bin111011110001…
…1110111100010
32011222100012200
41313203313202
531010421200
63035434030
7530255145
oct167436742
964870180
1031342050
1116767823
12a5b5916
136654abc
14423c05c
152b41800
hex1de3de2

31342050 has 108 divisors (see below), whose sum is σ = 89821446. Its totient is φ = 7833600.

The previous prime is 31342049. The next prime is 31342057. The reversal of 31342050 is 5024313.

It can be written as a sum of positive squares in 9 ways, for example, as 12341169 + 19000881 = 3513^2 + 4359^2 .

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

It is not an unprimeable number, because it can be changed into a prime (31342057) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 129930 + ... + 130170.

Almost surely, 231342050 is an apocalyptic number.

31342050 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 31342050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44910723).

31342050 is an abundant number, since it is smaller than the sum of its proper divisors (58479396).

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

31342050 is a wasteful number, since it uses less digits than its factorization.

31342050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 31342050 is about 5598.3970920255. The cubic root of 31342050 is about 315.2892279295.

Adding to 31342050 its reverse (5024313), we get a palindrome (36366363).

It can be divided in two parts, 3134 and 2050, that added together give a square (5184 = 722).

The spelling of 31342050 in words is "thirty-one million, three hundred forty-two thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 17 18 25 30 34 45 50 51 75 85 90 102 150 153 170 225 241 255 289 306 425 450 482 510 578 723 765 850 867 1205 1275 1445 1446 1530 1734 2169 2410 2550 2601 2890 3615 3825 4097 4335 4338 5202 6025 7225 7230 7650 8194 8670 10845 12050 12291 13005 14450 18075 20485 21675 21690 24582 26010 36150 36873 40970 43350 54225 61455 65025 69649 73746 102425 108450 122910 130050 139298 184365 204850 208947 307275 348245 368730 417894 614550 626841 696490 921825 1044735 1253682 1741225 1843650 2089470 3134205 3482450 5223675 6268410 10447350 15671025 31342050