Search a number
-
+
3114034200 = 2333524313411
BaseRepresentation
bin1011100110011100…
…0110010000011000
322001000121022212000
42321213012100120
522334143043300
61233000321000
7140111565624
oct27147062030
98030538760
103114034200
111358877a92
1272aa73160
133a81ccbb4
1421780c184
151335bbc00
hexb99c6418

3114034200 has 192 divisors, whose sum is σ = 10976380800. Its totient is φ = 811036800.

The previous prime is 3114034199. The next prime is 3114034207. The reversal of 3114034200 is 24304113.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3114034207) 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, 225495 + ... + 238905.

It is an arithmetic number, because the mean of its divisors is an integer number (57168650).

Almost surely, 23114034200 is an apocalyptic number.

3114034200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3114034200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5488190400).

3114034200 is an abundant number, since it is smaller than the sum of its proper divisors (7862346600).

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

3114034200 is a wasteful number, since it uses less digits than its factorization.

3114034200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13479 (or 13464 counting only the distinct ones).

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

The square root of 3114034200 is about 55803.5321462719. The cubic root of 3114034200 is about 1460.2967745988.

Adding to 3114034200 its reverse (24304113), we get a palindrome (3138338313).

The spelling of 3114034200 in words is "three billion, one hundred fourteen million, thirty-four thousand, two hundred".