Search a number
-
+
1142344296 = 233419314173
BaseRepresentation
bin100010000010110…
…1100101001101000
32221121112002210000
41010011230221220
54314420004141
6305204223000
740210523562
oct10405545150
92847462700
101142344296
115369071a5
1227a69aa60
13152888592
14aba02332
156a44c5b6
hex4416ca68

1142344296 has 320 divisors, whose sum is σ = 3610252800. Its totient is φ = 335923200.

The previous prime is 1142344213. The next prime is 1142344297. The reversal of 1142344296 is 6924432411.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 1142344296.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1142344297) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 15648516 + ... + 15648588.

It is an arithmetic number, because the mean of its divisors is an integer number (11282040).

Almost surely, 21142344296 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1142344296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1805126400).

1142344296 is an abundant number, since it is smaller than the sum of its proper divisors (2467908504).

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

1142344296 is a wasteful number, since it uses less digits than its factorization.

1142344296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 169 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 1142344296 is about 33798.5842307041. The cubic root of 1142344296 is about 1045.3595051315.

The spelling of 1142344296 in words is "one billion, one hundred forty-two million, three hundred forty-four thousand, two hundred ninety-six".