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3117712 = 241321153
BaseRepresentation
bin1011111001001010010000
312212101200211
423321022100
51244231322
6150453504
735333353
oct13711220
95771624
103117712
11183a424
121064294
13852100
145b229a
15418b77
hex2f9290

3117712 has 30 divisors (see below), whose sum is σ = 6546642. Its totient is φ = 1437696.

The previous prime is 3117683. The next prime is 3117713. The reversal of 3117712 is 2177113.

3117712 is nontrivially palindromic in base 7.

It can be written as a sum of positive squares in 3 ways, for example, as 76176 + 3041536 = 276^2 + 1744^2 .

It is a super-2 number, since 2×31177122 = 19440256229888, which contains 22 as substring.

It is a nialpdrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (3117713) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2128 + ... + 3280.

Almost surely, 23117712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3117712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3273321).

3117712 is an abundant number, since it is smaller than the sum of its proper divisors (3428930).

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

3117712 is a wasteful number, since it uses less digits than its factorization.

3117712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1187 (or 1168 counting only the distinct ones).

The product of its digits is 294, while the sum is 22.

The square root of 3117712 is about 1765.7043920204. The cubic root of 3117712 is about 146.0871438223.

The spelling of 3117712 in words is "three million, one hundred seventeen thousand, seven hundred twelve".

Divisors: 1 2 4 8 13 16 26 52 104 169 208 338 676 1153 1352 2306 2704 4612 9224 14989 18448 29978 59956 119912 194857 239824 389714 779428 1558856 3117712