Search a number
-
+
3114342 = 2337211107
BaseRepresentation
bin1011111000010101100110
312212020002000
423320111212
51244124332
6150430130
735320500
oct13702546
95766060
103114342
111837940
121062346
1385070a
145b0d70
15417b7c
hex2f8566

3114342 has 96 divisors (see below), whose sum is σ = 8864640. Its totient is φ = 801360.

The previous prime is 3114329. The next prime is 3114343. The reversal of 3114342 is 2434113.

3114342 is digitally balanced in base 8, 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 (18).

3114342 is strictly pandigital in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3114343) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29053 + ... + 29159.

It is an arithmetic number, because the mean of its divisors is an integer number (92340).

Almost surely, 23114342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3114342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4432320).

3114342 is an abundant number, since it is smaller than the sum of its proper divisors (5750298).

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

3114342 is a wasteful number, since it uses less digits than its factorization.

3114342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 130 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 3114342 is about 1764.7498406290. The cubic root of 3114342 is about 146.0344886310.

Adding to 3114342 its reverse (2434113), we get a palindrome (5548455).

The spelling of 3114342 in words is "three million, one hundred fourteen thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 49 54 63 66 77 98 99 107 126 147 154 189 198 214 231 294 297 321 378 441 462 539 594 642 693 749 882 963 1078 1177 1323 1386 1498 1617 1926 2079 2247 2354 2646 2889 3234 3531 4158 4494 4851 5243 5778 6741 7062 8239 9702 10486 10593 13482 14553 15729 16478 20223 21186 24717 29106 31458 31779 40446 47187 49434 57673 63558 74151 94374 115346 141561 148302 173019 222453 283122 346038 444906 519057 1038114 1557171 3114342