Search a number
-
+
1430426304 = 2636233143
BaseRepresentation
bin101010101000010…
…1001001011000000
310200200121012000000
41111100221023000
510412142120204
6353535000000
750306265036
oct12520511300
93620535000
101430426304
116744904aa
1233b069000
1319a4727c8
14d7d92556
15858a5039
hex554292c0

1430426304 has 392 divisors, whose sum is σ = 4690701312. Its totient is φ = 431101440.

The previous prime is 1430426303. The next prime is 1430426317. The reversal of 1430426304 is 4036240341.

It is a super-2 number, since 2×14304263042 = 4092238822350200832, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1430426303) by changing a digit.

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 55 ways as a sum of consecutive naturals, for example, 33265707 + ... + 33265749.

Almost surely, 21430426304 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 1430426304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2345350656).

1430426304 is an abundant number, since it is smaller than the sum of its proper divisors (3260275008).

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

1430426304 is an equidigital number, since it uses as much as digits as its factorization.

1430426304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 1430426304 is about 37820.9770365600. The cubic root of 1430426304 is about 1126.7351145154.

Adding to 1430426304 its reverse (4036240341), we get a palindrome (5466666645).

The spelling of 1430426304 in words is "one billion, four hundred thirty million, four hundred twenty-six thousand, three hundred four".