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3164112 = 243274373
BaseRepresentation
bin1100000100011111010000
312221202100100
430010133100
51302222422
6151452400
735615550
oct14043720
95852310
103164112
111871276
121087100
1386a273
145c5160
154277ac
hex3047d0

3164112 has 120 divisors (see below), whose sum is σ = 10497344. Its totient is φ = 870912.

The previous prime is 3164101. The next prime is 3164123. The reversal of 3164112 is 2114613.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3164101) and next prime (3164123).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43308 + ... + 43380.

Almost surely, 23164112 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 3164112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5248672).

3164112 is an abundant number, since it is smaller than the sum of its proper divisors (7333232).

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

3164112 is a wasteful number, since it uses less digits than its factorization.

3164112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 128 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 3164112 is about 1778.7950978120. The cubic root of 3164112 is about 146.8083021140.

Adding to 3164112 its reverse (2114613), we get a palindrome (5278725).

The spelling of 3164112 in words is "three million, one hundred sixty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 43 48 56 63 72 73 84 86 112 126 129 144 146 168 172 219 252 258 292 301 336 344 387 438 504 511 516 584 602 657 688 774 876 903 1008 1022 1032 1168 1204 1314 1533 1548 1752 1806 2044 2064 2408 2628 2709 3066 3096 3139 3504 3612 4088 4599 4816 5256 5418 6132 6192 6278 7224 8176 9198 9417 10512 10836 12264 12556 14448 18396 18834 21672 21973 24528 25112 28251 36792 37668 43344 43946 50224 56502 65919 73584 75336 87892 113004 131838 150672 175784 197757 226008 263676 351568 395514 452016 527352 791028 1054704 1582056 3164112