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31301424 = 2433711941
BaseRepresentation
bin111011101100…
…1111100110000
32011220021111000
41313121330300
531003121144
63034522000
7530025540
oct167317460
964807430
1031301424
111673a250
12a596300
13663c46b
14422b320
152b34769
hex1dd9f30

31301424 has 160 divisors (see below), whose sum is σ = 112135680. Its totient is φ = 8121600.

The previous prime is 31301423. The next prime is 31301443. The reversal of 31301424 is 42410313.

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

It is a junction number, because it is equal to n+sod(n) for n = 31301397 and 31301406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31301423) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32794 + ... + 33734.

It is an arithmetic number, because the mean of its divisors is an integer number (700848).

Almost surely, 231301424 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 31301424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56067840).

31301424 is an abundant number, since it is smaller than the sum of its proper divisors (80834256).

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

31301424 is a wasteful number, since it uses less digits than its factorization.

31301424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 976 (or 964 counting only the distinct ones).

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

The square root of 31301424 is about 5594.7675554933. The cubic root of 31301424 is about 315.1529416034.

Adding to 31301424 its reverse (42410313), we get a palindrome (73711737).

Subtracting 31301424 from its reverse (42410313), we obtain a square (11108889 = 33332).

It can be divided in two parts, 3130 and 1424, that added together give a palindrome (4554).

The spelling of 31301424 in words is "thirty-one million, three hundred one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 27 28 33 36 42 44 48 54 56 63 66 72 77 84 88 99 108 112 126 132 144 154 168 176 189 198 216 231 252 264 297 308 336 378 396 432 462 504 528 594 616 693 756 792 924 941 1008 1188 1232 1386 1512 1584 1848 1882 2079 2376 2772 2823 3024 3696 3764 4158 4752 5544 5646 6587 7528 8316 8469 10351 11088 11292 13174 15056 16632 16938 19761 20702 22584 25407 26348 31053 33264 33876 39522 41404 45168 50814 52696 59283 62106 67752 72457 79044 82808 93159 101628 105392 118566 124212 135504 144914 158088 165616 177849 186318 203256 217371 237132 248424 279477 289828 316176 355698 372636 406512 434742 474264 496848 558954 579656 652113 711396 745272 869484 948528 1117908 1159312 1304226 1422792 1490544 1738968 1956339 2235816 2608452 2845584 3477936 3912678 4471632 5216904 7825356 10433808 15650712 31301424