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31351320 = 233357111329
BaseRepresentation
bin111011110011…
…0001000011000
32011222210221000
41313212020120
531011220240
63035545000
7530324160
oct167461030
964883830
1031351320
1116773790
12a5bb160
1366590a0
1442415a0
152b44430
hex1de6218

31351320 has 512 divisors, whose sum is σ = 145152000. Its totient is φ = 5806080.

The previous prime is 31351319. The next prime is 31351339. The reversal of 31351320 is 2315313.

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 = 31351293 and 31351302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1081066 + ... + 1081094.

It is an arithmetic number, because the mean of its divisors is an integer number (283500).

Almost surely, 231351320 is an apocalyptic number.

31351320 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 31351320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72576000).

31351320 is an abundant number, since it is smaller than the sum of its proper divisors (113800680).

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

31351320 is a wasteful number, since it uses less digits than its factorization.

31351320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 31351320 is about 5599.2249463653. The cubic root of 31351320 is about 315.3203091025.

Adding to 31351320 its reverse (2315313), we get a palindrome (33666633).

The spelling of 31351320 in words is "thirty-one million, three hundred fifty-one thousand, three hundred twenty".