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3117888 = 26325413
BaseRepresentation
bin1011111001001101000000
312212101221100
423321031000
51244233023
6150454400
735334024
oct13711500
95771840
103117888
11183a574
121064400
13852207
145b2384
15418c43
hex2f9340

3117888 has 42 divisors (see below), whose sum is σ = 8938514. Its totient is φ = 1039104.

The previous prime is 3117853. The next prime is 3117889. The reversal of 3117888 is 8887113.

It can be written as a sum of positive squares in only one way, i.e., 2286144 + 831744 = 1512^2 + 912^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3117889) 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, 2131 + ... + 3282.

Almost surely, 23117888 is an apocalyptic number.

It is an amenable number.

3117888 is an abundant number, since it is smaller than the sum of its proper divisors (5820626).

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

3117888 is a wasteful number, since it uses less digits than its factorization.

3117888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5431 (or 5418 counting only the distinct ones).

The product of its digits is 10752, while the sum is 36.

The square root of 3117888 is about 1765.7542297840. The cubic root of 3117888 is about 146.0898927242.

It can be divided in two parts, 3117 and 888, that added together give a triangular number (4005 = T89).

The spelling of 3117888 in words is "three million, one hundred seventeen thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 5413 10826 16239 21652 32478 43304 48717 64956 86608 97434 129912 173216 194868 259824 346432 389736 519648 779472 1039296 1558944 3117888