Search a number
-
+
1342053000 = 233253413637
BaseRepresentation
bin100111111111110…
…0001101010001000
310110112022100121200
41033333201222020
510222031144000
6341100504200
745154155651
oct11777415210
93415270550
101342053000
11629610312
1231554b060
13185070102
14ca34a528
157cc4a500
hex4ffe1a88

1342053000 has 192 divisors, whose sum is σ = 4648054320. Its totient is φ = 349056000.

The previous prime is 1342052989. The next prime is 1342053007. The reversal of 1342053000 is 3502431.

1342053000 is a `hidden beast` number, since 134 + 2 + 0 + 530 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 215913636 + 1126139364 = 14694^2 + 33558^2 .

It is a super-2 number, since 2×13420530002 = 3602212509618000000, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1342053007) by changing a digit.

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, 367182 + ... + 370818.

Almost surely, 21342053000 is an apocalyptic number.

1342053000 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 1342053000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2324027160).

1342053000 is an abundant number, since it is smaller than the sum of its proper divisors (3306001320).

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

1342053000 is a wasteful number, since it uses less digits than its factorization.

1342053000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3705 (or 3688 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 1342053000 is about 36634.0415460812. The cubic root of 1342053000 is about 1103.0365136726.

Adding to 1342053000 its reverse (3502431), we get a palindrome (1345555431).

The spelling of 1342053000 in words is "one billion, three hundred forty-two million, fifty-three thousand".