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31331430 = 23251361439
BaseRepresentation
bin111011110000…
…1010001100110
32011221210122100
41313201101212
531010101210
63035312530
7530212164
oct167412146
964853570
1031331430
111675a849
12a5ab746
136650010
144238234
152b3d5c0
hex1de1466

31331430 has 96 divisors (see below), whose sum is σ = 89369280. Its totient is φ = 7568640.

The previous prime is 31331429. The next prime is 31331431. The reversal of 31331430 is 3413313.

It is an interprime number because it is at equal distance from previous prime (31331429) and next prime (31331431).

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31331431) by changing a digit.

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, 71151 + ... + 71589.

It is an arithmetic number, because the mean of its divisors is an integer number (930930).

Almost surely, 231331430 is an apocalyptic number.

31331430 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 31331430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44684640).

31331430 is an abundant number, since it is smaller than the sum of its proper divisors (58037850).

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

31331430 is a wasteful number, since it uses less digits than its factorization.

31331430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 31331430 is about 5597.4485258911. The cubic root of 31331430 is about 315.2536128388.

Adding to 31331430 its reverse (3413313), we get a palindrome (34744743).

The spelling of 31331430 in words is "thirty-one million, three hundred thirty-one thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 61 65 78 90 117 122 130 183 195 234 305 366 390 439 549 585 610 793 878 915 1098 1170 1317 1586 1830 2195 2379 2634 2745 3951 3965 4390 4758 5490 5707 6585 7137 7902 7930 11414 11895 13170 14274 17121 19755 23790 26779 28535 34242 35685 39510 51363 53558 57070 71370 80337 85605 102726 133895 160674 171210 241011 256815 267790 348127 401685 482022 513630 696254 803370 1044381 1205055 1740635 2088762 2410110 3133143 3481270 5221905 6266286 10443810 15665715 31331430