Search a number
-
+
3112368 = 243759157
BaseRepresentation
bin1011110111110110110000
312212010100220
423313312300
51244043433
6150413040
735311650
oct13676660
95763326
103112368
111836406
121061180
1384c84c
145b0360
154172b3
hex2f7db0

3112368 has 80 divisors (see below), whose sum is σ = 9404160. Its totient is φ = 868608.

The previous prime is 3112357. The next prime is 3112381. The reversal of 3112368 is 8632113.

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 an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19746 + ... + 19902.

It is an arithmetic number, because the mean of its divisors is an integer number (117552).

Almost surely, 23112368 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 3112368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4702080).

3112368 is an abundant number, since it is smaller than the sum of its proper divisors (6291792).

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

3112368 is a wasteful number, since it uses less digits than its factorization.

3112368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 228 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

The square root of 3112368 is about 1764.1904659078. The cubic root of 3112368 is about 146.0036278576.

The spelling of 3112368 in words is "three million, one hundred twelve thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 59 84 112 118 157 168 177 236 314 336 354 413 471 472 628 708 826 942 944 1099 1239 1256 1416 1652 1884 2198 2478 2512 2832 3297 3304 3768 4396 4956 6594 6608 7536 8792 9263 9912 13188 17584 18526 19824 26376 27789 37052 52752 55578 64841 74104 111156 129682 148208 194523 222312 259364 389046 444624 518728 778092 1037456 1556184 3112368