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31242744 = 233213291151
BaseRepresentation
bin111011100101…
…1100111111000
32011210021222200
41313023213320
530444231434
63033350200
7526362501
oct167134770
964707880
1031242744
11166aa155
12a568360
13661b840
144213ba8
152b22199
hex1dcb9f8

31242744 has 96 divisors (see below), whose sum is σ = 94348800. Its totient is φ = 9273600.

The previous prime is 31242677. The next prime is 31242751. The reversal of 31242744 is 44724213.

It is a super-2 number, since 2×312427442 = 1952218105299072, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26569 + ... + 27719.

It is an arithmetic number, because the mean of its divisors is an integer number (982800).

Almost surely, 231242744 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31242744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47174400).

31242744 is an abundant number, since it is smaller than the sum of its proper divisors (63106056).

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

31242744 is a wasteful number, since it uses less digits than its factorization.

31242744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1205 (or 1198 counting only the distinct ones).

The product of its digits is 5376, while the sum is 27.

The square root of 31242744 is about 5589.5209097024. The cubic root of 31242744 is about 314.9558819543.

Adding to 31242744 its reverse (44724213), we get a palindrome (75966957).

The spelling of 31242744 in words is "thirty-one million, two hundred forty-two thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 29 36 39 52 58 72 78 87 104 116 117 156 174 232 234 261 312 348 377 468 522 696 754 936 1044 1131 1151 1508 2088 2262 2302 3016 3393 3453 4524 4604 6786 6906 9048 9208 10359 13572 13812 14963 20718 27144 27624 29926 33379 41436 44889 59852 66758 82872 89778 100137 119704 133516 134667 179556 200274 267032 269334 300411 359112 400548 433927 538668 600822 801096 867854 1077336 1201644 1301781 1735708 2403288 2603562 3471416 3905343 5207124 7810686 10414248 15621372 31242744