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31142430 = 23251183379
BaseRepresentation
bin111011011001…
…1001000011110
32011121012101100
41312303020132
530433024210
63031253530
7525464154
oct166631036
964535340
1031142430
1116640850
12a51a2a6
1365b4c97
1441c93d4
152b025c0
hex1db321e

31142430 has 96 divisors (see below), whose sum is σ = 89631360. Its totient is φ = 7439040.

The previous prime is 31142413. The next prime is 31142431. The reversal of 31142430 is 3424113.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31142431) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 81981 + ... + 82359.

It is an arithmetic number, because the mean of its divisors is an integer number (933660).

Almost surely, 231142430 is an apocalyptic number.

31142430 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 31142430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44815680).

31142430 is an abundant number, since it is smaller than the sum of its proper divisors (58488930).

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

31142430 is a wasteful number, since it uses less digits than its factorization.

31142430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 31142430 is about 5580.5402964229. The cubic root of 31142430 is about 314.6184344364.

Adding to 31142430 its reverse (3424113), we get a palindrome (34566543).

The spelling of 31142430 in words is "thirty-one million, one hundred forty-two thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 83 90 99 110 165 166 198 249 330 379 415 495 498 747 758 830 913 990 1137 1245 1494 1826 1895 2274 2490 2739 3411 3735 3790 4169 4565 5478 5685 6822 7470 8217 8338 9130 11370 12507 13695 16434 17055 20845 25014 27390 31457 34110 37521 41085 41690 62535 62914 75042 82170 94371 125070 157285 187605 188742 283113 314570 346027 375210 471855 566226 692054 943710 1038081 1415565 1730135 2076162 2831130 3114243 3460270 5190405 6228486 10380810 15571215 31142430