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3114200 = 235223677
BaseRepresentation
bin1011111000010011011000
312212012212202
423320103120
51244123300
6150425332
735320205
oct13702330
95765782
103114200
111837821
121062248
1385062b
145b0cac
15417ad5
hex2f84d8

3114200 has 48 divisors (see below), whose sum is σ = 7566480. Its totient is φ = 1189760.

The previous prime is 3114191. The next prime is 3114203. The reversal of 3114200 is 24113.

It is a happy number.

3114200 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3114203) 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 11 ways as a sum of consecutive naturals, for example, 4262 + ... + 4938.

It is an arithmetic number, because the mean of its divisors is an integer number (157635).

Almost surely, 23114200 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 3114200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3783240).

3114200 is an abundant number, since it is smaller than the sum of its proper divisors (4452280).

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

3114200 is a wasteful number, since it uses less digits than its factorization.

3114200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 716 (or 707 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 3114200 is about 1764.7096078392. The cubic root of 3114200 is about 146.0322690918.

Adding to 3114200 its reverse (24113), we get a palindrome (3138313).

The spelling of 3114200 in words is "three million, one hundred fourteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 100 115 184 200 230 460 575 677 920 1150 1354 2300 2708 3385 4600 5416 6770 13540 15571 16925 27080 31142 33850 62284 67700 77855 124568 135400 155710 311420 389275 622840 778550 1557100 3114200