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31233420 = 223251759173
BaseRepresentation
bin111011100100…
…1010110001100
32011202211012100
41313021112030
530443432140
63033235100
7526323351
oct167112614
964684170
1031233420
11166a3149
12a562a90
13661751a
144210628
152b1e530
hex1dc958c

31233420 has 144 divisors (see below), whose sum is σ = 102604320. Its totient is φ = 7661568.

The previous prime is 31233409. The next prime is 31233421. The reversal of 31233420 is 2433213.

Adding to 31233420 its reverse (2433213), we get a palindrome (33666633).

31233420 is a `hidden beast` number, since 312 + 334 + 20 = 666.

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 = 31233393 and 31233402.

It is not an unprimeable number, because it can be changed into a prime (31233421) 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, 180454 + ... + 180626.

It is an arithmetic number, because the mean of its divisors is an integer number (712530).

Almost surely, 231233420 is an apocalyptic number.

31233420 is a gapful number since it is divisible by the number (30) 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 31233420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51302160).

31233420 is an abundant number, since it is smaller than the sum of its proper divisors (71370900).

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

31233420 is a wasteful number, since it uses less digits than its factorization.

31233420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 31233420 is about 5588.6867867147. The cubic root of 31233420 is about 314.9245473098.

The spelling of 31233420 in words is "thirty-one million, two hundred thirty-three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 59 60 68 85 90 102 118 153 170 173 177 180 204 236 255 295 306 340 346 354 510 519 531 590 612 692 708 765 865 885 1003 1020 1038 1062 1180 1530 1557 1730 1770 2006 2076 2124 2595 2655 2941 3009 3060 3114 3460 3540 4012 5015 5190 5310 5882 6018 6228 7785 8823 9027 10030 10207 10380 10620 11764 12036 14705 15045 15570 17646 18054 20060 20414 26469 29410 30090 30621 31140 35292 36108 40828 44115 45135 51035 52938 58820 60180 61242 88230 90270 91863 102070 105876 122484 132345 153105 173519 176460 180540 183726 204140 264690 306210 347038 367452 459315 520557 529380 612420 694076 867595 918630 1041114 1561671 1735190 1837260 2082228 2602785 3123342 3470380 5205570 6246684 7808355 10411140 15616710 31233420