Search a number
-
+
3404422200 = 2335261191487
BaseRepresentation
bin1100101011101011…
…0101110000111000
322210021000120022010
43022322311300320
523433013002300
61321452325520
7150236053104
oct31272656070
98707016263
103404422200
111497786873
127b01738a0
1342341390a
142441dc904
1514dd2ca50
hexcaeb5c38

3404422200 has 192 divisors, whose sum is σ = 10805022720. Its totient is φ = 886464000.

The previous prime is 3404422171. The next prime is 3404422237. The reversal of 3404422200 is 22244043.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6990357 + ... + 6990843.

It is an arithmetic number, because the mean of its divisors is an integer number (56276160).

Almost surely, 23404422200 is an apocalyptic number.

3404422200 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 3404422200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5402511360).

3404422200 is an abundant number, since it is smaller than the sum of its proper divisors (7400600520).

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

3404422200 is a wasteful number, since it uses less digits than its factorization.

3404422200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758 (or 749 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

The square root of 3404422200 is about 58347.4266784749. The cubic root of 3404422200 is about 1504.3462390854.

Adding to 3404422200 its reverse (22244043), we get a palindrome (3426666243).

The spelling of 3404422200 in words is "three billion, four hundred four million, four hundred twenty-two thousand, two hundred".