Search a number
-
+
3310112 = 251373109
BaseRepresentation
bin1100101000001000100000
320020011121202
430220020200
51321410422
6154540332
740064321
oct14501040
96204552
103310112
111960a33
1211376a8
138bb860
14622448
15455b92
hex328220

3310112 has 48 divisors (see below), whose sum is σ = 7179480. Its totient is φ = 1492992.

The previous prime is 3310079. The next prime is 3310117. The reversal of 3310112 is 2110133.

It can be written as a sum of positive squares in 4 ways, for example, as 2676496 + 633616 = 1636^2 + 796^2 .

It is a junction number, because it is equal to n+sod(n) for n = 3310093 and 3310102.

It is not an unprimeable number, because it can be changed into a prime (3310117) 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, 30314 + ... + 30422.

Almost surely, 23310112 is an apocalyptic number.

3310112 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 3310112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3589740).

3310112 is an abundant number, since it is smaller than the sum of its proper divisors (3869368).

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

3310112 is a wasteful number, since it uses less digits than its factorization.

3310112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 3310112 is about 1819.3713199894. The cubic root of 3310112 is about 149.0324689387.

Adding to 3310112 its reverse (2110133), we get a palindrome (5420245).

The spelling of 3310112 in words is "three million, three hundred ten thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 73 104 109 146 208 218 292 416 436 584 872 949 1168 1417 1744 1898 2336 2834 3488 3796 5668 7592 7957 11336 15184 15914 22672 30368 31828 45344 63656 103441 127312 206882 254624 413764 827528 1655056 3310112