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3114421200 = 24325211314359
BaseRepresentation
bin1011100110100010…
…0100101111010000
322001001022222201100
42321220210233100
522334242434300
61233012504400
7140115100122
oct27150445720
98031288640
103114421200
111359011820
1272b01b100
133a83070a7
142178ad212
15133646700
hexb9a24bd0

3114421200 has 720 divisors, whose sum is σ = 12664903680. Its totient is φ = 701568000.

The previous prime is 3114421171. The next prime is 3114421223. The reversal of 3114421200 is 21244113.

3114421200 is a `hidden beast` number, since 31 + 14 + 421 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×31144212002 = 19399238822018880000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 52786771 + ... + 52786829.

It is an arithmetic number, because the mean of its divisors is an integer number (17590144).

Almost surely, 23114421200 is an apocalyptic number.

3114421200 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 3114421200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6332451840).

3114421200 is an abundant number, since it is smaller than the sum of its proper divisors (9550482480).

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

3114421200 is a wasteful number, since it uses less digits than its factorization.

3114421200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 3114421200 is about 55806.9995609870. Note that the first 3 decimals coincide. The cubic root of 3114421200 is about 1460.3572654184.

Adding to 3114421200 its reverse (21244113), we get a palindrome (3135665313).

The spelling of 3114421200 in words is "three billion, one hundred fourteen million, four hundred twenty-one thousand, two hundred".