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1430030400 = 263521511973
BaseRepresentation
bin101010100111100…
…1000100001000000
310200122212001220220
41111033020201000
510412041433100
6353522303040
750303025561
oct12517104100
93618761826
101430030400
11674240007
1233aab7a80
1319a364546
14d7ccc168
1585827aa0
hex553c8840

1430030400 has 168 divisors, whose sum is σ = 4725155904. Its totient is φ = 378624000.

The previous prime is 1430030389. The next prime is 1430030411. The reversal of 1430030400 is 40300341.

It is an interprime number because it is at equal distance from previous prime (1430030389) and next prime (1430030411).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1430030400.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 723814 + ... + 725786.

It is an arithmetic number, because the mean of its divisors is an integer number (28125928).

Almost surely, 21430030400 is an apocalyptic number.

1430030400 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 1430030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2362577952).

1430030400 is an abundant number, since it is smaller than the sum of its proper divisors (3295125504).

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

1430030400 is a wasteful number, since it uses less digits than its factorization.

1430030400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2149 (or 2134 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 1430030400 is about 37815.7427535147. The cubic root of 1430030400 is about 1126.6311548082.

Adding to 1430030400 its reverse (40300341), we get a palindrome (1470330741).

The spelling of 1430030400 in words is "one billion, four hundred thirty million, thirty thousand, four hundred".