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3116616 = 233315971
BaseRepresentation
bin1011111000111001001000
312212100012020
423320321020
51244212431
6150444440
735330226
oct13707110
95770166
103116616
111839618
121063720
13851769
145b1b16
15418696
hex2f8e48

3116616 has 64 divisors (see below), whose sum is σ = 8294400. Its totient is φ = 974400.

The previous prime is 3116611. The next prime is 3116623. The reversal of 3116616 is 6166113.

3116616 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (3116611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43861 + ... + 43931.

It is an arithmetic number, because the mean of its divisors is an integer number (129600).

Almost surely, 23116616 is an apocalyptic number.

3116616 is the 944-th nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3116616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4147200).

3116616 is an abundant number, since it is smaller than the sum of its proper divisors (5177784).

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

3116616 is a wasteful number, since it uses less digits than its factorization.

3116616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 166 counting only the distinct ones).

The product of its digits is 648, while the sum is 24.

The square root of 3116616 is about 1765.3940070137. The cubic root of 3116616 is about 146.0700233319.

The spelling of 3116616 in words is "three million, one hundred sixteen thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 24 31 59 62 71 93 118 124 142 177 186 213 236 248 284 354 372 426 472 568 708 744 852 1416 1704 1829 2201 3658 4189 4402 5487 6603 7316 8378 8804 10974 12567 13206 14632 16756 17608 21948 25134 26412 33512 43896 50268 52824 100536 129859 259718 389577 519436 779154 1038872 1558308 3116616