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1304404200 = 23325211253113
BaseRepresentation
bin100110110111111…
…1010000011101000
310100220110121011200
41031233322003220
510132411413300
6333233524200
744216152461
oct11557720350
93326417150
101304404200
1160a336200
12304a13660
1317a31a808
14c5349d68
15797b0200
hex4dbfa0e8

1304404200 has 432 divisors, whose sum is σ = 4949331660. Its totient is φ = 307507200.

The previous prime is 1304404187. The next prime is 1304404201. The reversal of 1304404200 is 24044031.

It can be written as a sum of positive squares in 6 ways, for example, as 228432996 + 1075971204 = 15114^2 + 32802^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1304404201) 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 107 ways as a sum of consecutive naturals, for example, 11543344 + ... + 11543456.

Almost surely, 21304404200 is an apocalyptic number.

1304404200 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 1304404200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2474665830).

1304404200 is an abundant number, since it is smaller than the sum of its proper divisors (3644927460).

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

1304404200 is a wasteful number, since it uses less digits than its factorization.

1304404200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 1304404200 is about 36116.5363787836. The cubic root of 1304404200 is about 1092.6239842393.

Adding to 1304404200 its reverse (24044031), we get a palindrome (1328448231).

It can be divided in two parts, 1304 and 404200, that added together give a palindrome (405504).

The spelling of 1304404200 in words is "one billion, three hundred four million, four hundred four thousand, two hundred".