Search a number
-
+
1342444320 = 253357103431
BaseRepresentation
bin101000000000100…
…0001001100100000
310110120001020102000
41100001001030200
510222131204240
6341113124000
745160405560
oct12001011440
93416036360
101342444320
11629858318
123156b9600
13185179269
14ca40cda0
157ccc6430
hex50041320

1342444320 has 384 divisors, whose sum is σ = 5434490880. Its totient is φ = 303160320.

The previous prime is 1342444277. The next prime is 1342444339. The reversal of 1342444320 is 234442431.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3114505 + ... + 3114935.

It is an arithmetic number, because the mean of its divisors is an integer number (14152320).

Almost surely, 21342444320 is an apocalyptic number.

1342444320 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 1342444320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2717245440).

1342444320 is an abundant number, since it is smaller than the sum of its proper divisors (4092046560).

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

1342444320 is a wasteful number, since it uses less digits than its factorization.

1342444320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 1342444320 is about 36639.3820908596. The cubic root of 1342444320 is about 1103.1437121967.

Adding to 1342444320 its reverse (234442431), we get a palindrome (1576886751).

The spelling of 1342444320 in words is "one billion, three hundred forty-two million, four hundred forty-four thousand, three hundred twenty".