Search a number
-
+
13443203400 = 23352114574457
BaseRepresentation
bin11001000010100011…
…10000000101001000
31021200212202111020020
430201101300011020
5210012430002100
610101542300440
7654064225554
oct144121600510
937625674206
1013443203400
115779379760
122732127720
13136315bc33
14917578864
1553a2eb5a0
hex321470148

13443203400 has 192 divisors, whose sum is σ = 45572172480. Its totient is φ = 3251097600.

The previous prime is 13443203357. The next prime is 13443203429. The reversal of 13443203400 is 430234431.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 3013972 + ... + 3018428.

It is an arithmetic number, because the mean of its divisors is an integer number (237355065).

Almost surely, 213443203400 is an apocalyptic number.

13443203400 is a gapful number since it is divisible by the number (10) 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 13443203400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22786086240).

13443203400 is an abundant number, since it is smaller than the sum of its proper divisors (32128969080).

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

13443203400 is a wasteful number, since it uses less digits than its factorization.

13443203400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4944 (or 4935 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 13443203400 its reverse (430234431), we get a palindrome (13873437831).

The spelling of 13443203400 in words is "thirteen billion, four hundred forty-three million, two hundred three thousand, four hundred".