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31014324 = 223211172271
BaseRepresentation
bin111011001001…
…1110110110100
32011100200122200
41312103312310
530414424244
63024424500
7524421525
oct166236664
964320580
1031014324
1116563580
12a478130
13656b893
14419484c
152ac9669
hex1d93db4

31014324 has 108 divisors (see below), whose sum is σ = 91186368. Its totient is φ = 8812800.

The previous prime is 31014323. The next prime is 31014331. The reversal of 31014324 is 42341013.

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 = 31014297 and 31014306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31014323) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 114309 + ... + 114579.

Almost surely, 231014324 is an apocalyptic number.

31014324 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31014324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45593184).

31014324 is an abundant number, since it is smaller than the sum of its proper divisors (60172044).

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

31014324 is a wasteful number, since it uses less digits than its factorization.

31014324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 304 counting only the distinct ones).

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

The square root of 31014324 is about 5569.0505474452. The cubic root of 31014324 is about 314.1864418066.

Adding to 31014324 its reverse (42341013), we get a palindrome (73355337).

The spelling of 31014324 in words is "thirty-one million, fourteen thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 33 34 36 44 51 66 68 99 102 132 153 187 198 204 271 289 306 374 396 542 561 578 612 748 813 867 1084 1122 1156 1626 1683 1734 2244 2439 2601 2981 3179 3252 3366 3468 4607 4878 5202 5962 6358 6732 8943 9214 9537 9756 10404 11924 12716 13821 17886 18428 19074 26829 27642 28611 35772 38148 41463 50677 53658 55284 57222 78319 82926 101354 107316 114444 152031 156638 165852 202708 234957 304062 313276 456093 469914 608124 704871 861509 912186 939828 1409742 1723018 1824372 2584527 2819484 3446036 5169054 7753581 10338108 15507162 31014324