Search a number
-
+
3114330400 = 25523892913
BaseRepresentation
bin1011100110100000…
…1110100100100000
322001001011101011101
42321220032210200
522334232033100
61233010524144
7140114241316
oct27150164440
98031141141
103114330400
111358a5a585
1272ab96654
133a82a496c
142178880b6
1513362986a
hexb9a0e920

3114330400 has 36 divisors (see below), whose sum is σ = 7602861042. Its totient is φ = 1245731840.

The previous prime is 3114330389. The next prime is 3114330421. The reversal of 3114330400 is 40334113.

It can be written as a sum of positive squares in 3 ways, for example, as 2661321744 + 453008656 = 51588^2 + 21284^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1945657 + ... + 1947256.

Almost surely, 23114330400 is an apocalyptic number.

It is an amenable number.

3114330400 is an abundant number, since it is smaller than the sum of its proper divisors (4488530642).

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

3114330400 is a wasteful number, since it uses less digits than its factorization.

3114330400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3892933 (or 3892920 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 3114330400 is about 55806.1860370336. The cubic root of 3114330400 is about 1460.3430731903.

Adding to 3114330400 its reverse (40334113), we get a palindrome (3154664513).

The spelling of 3114330400 in words is "three billion, one hundred fourteen million, three hundred thirty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 3892913 7785826 15571652 19464565 31143304 38929130 62286608 77858260 97322825 124573216 155716520 194645650 311433040 389291300 622866080 778582600 1557165200 3114330400