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31034112 = 283172377
BaseRepresentation
bin111011001100…
…0101100000000
32011101200210120
41312120230000
530421042422
63025100240
7524533314
oct166305400
964350716
1031034112
111657742a
12a487680
1365778a5
14419bb44
152ad045c
hex1d98b00

31034112 has 72 divisors (see below), whose sum is σ = 87491376. Its totient is φ = 9732096.

The previous prime is 31034099. The next prime is 31034117. The reversal of 31034112 is 21143013.

It is a super-2 number, since 2×310341122 = 1926232215257088, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 31034091 and 31034100.

It is not an unprimeable number, because it can be changed into a prime (31034117) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11868 + ... + 14244.

It is an arithmetic number, because the mean of its divisors is an integer number (1215158).

Almost surely, 231034112 is an apocalyptic number.

31034112 is a gapful number since it is divisible by the number (32) 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 31034112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43745688).

31034112 is an abundant number, since it is smaller than the sum of its proper divisors (56457264).

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

31034112 is a wasteful number, since it uses less digits than its factorization.

31034112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2413 (or 2399 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 31034112 is about 5570.8268686076. The cubic root of 31034112 is about 314.2532474923.

Adding to 31034112 its reverse (21143013), we get a palindrome (52177125).

The spelling of 31034112 in words is "thirty-one million, thirty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 256 272 384 408 544 768 816 1088 1632 2176 2377 3264 4352 4754 6528 7131 9508 13056 14262 19016 28524 38032 40409 57048 76064 80818 114096 121227 152128 161636 228192 242454 304256 323272 456384 484908 608512 646544 912768 969816 1293088 1825536 1939632 2586176 3879264 5172352 7758528 10344704 15517056 31034112