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31630320 = 24325197223
BaseRepresentation
bin111100010101…
…0001111110000
32012111222122100
41320222033300
531044132240
63045540400
7532565451
oct170521760
965458570
1031630320
1116944367
12a714700
136726087
1442b5128
152b9be30
hex1e2a3f0

31630320 has 120 divisors (see below), whose sum is σ = 107243136. Its totient is φ = 8354304.

The previous prime is 31630303. The next prime is 31630331. The reversal of 31630320 is 2303613.

It is a happy number.

31630320 is a `hidden beast` number, since 3 + 1 + 630 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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 = 31630293 and 31630302.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 141729 + ... + 141951.

Almost surely, 231630320 is an apocalyptic number.

31630320 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 31630320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53621568).

31630320 is an abundant number, since it is smaller than the sum of its proper divisors (75612816).

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

31630320 is a wasteful number, since it uses less digits than its factorization.

31630320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 430 counting only the distinct ones).

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

The square root of 31630320 is about 5624.0839254051. The cubic root of 31630320 is about 316.2529086788.

Adding to 31630320 its reverse (2303613), we get a palindrome (33933933).

The spelling of 31630320 in words is "thirty-one million, six hundred thirty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 197 223 240 360 394 446 591 669 720 788 892 985 1115 1182 1338 1576 1773 1784 1970 2007 2230 2364 2676 2955 3152 3345 3546 3568 3940 4014 4460 4728 5352 5910 6690 7092 7880 8028 8865 8920 9456 10035 10704 11820 13380 14184 15760 16056 17730 17840 20070 23640 26760 28368 32112 35460 40140 43931 47280 53520 70920 80280 87862 131793 141840 160560 175724 219655 263586 351448 395379 439310 527172 658965 702896 790758 878620 1054344 1317930 1581516 1757240 1976895 2108688 2635860 3163032 3514480 3953790 5271720 6326064 7907580 10543440 15815160 31630320