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1334013300 = 2234521571049
BaseRepresentation
bin100111110000011…
…0110110101110100
310102222011220020000
41033200312311310
510213001411200
6340212311300
745025632414
oct11740666564
93388156200
101334013300
11625019a34
12312912530
131834b68a9
14c9256644
157c1ad300
hex4f836d74

1334013300 has 180 divisors, whose sum is σ = 4356036300. Its totient is φ = 353134080.

The previous prime is 1334013293. The next prime is 1334013377. The reversal of 1334013300 is 33104331.

1334013300 is a `hidden beast` number, since 1 + 334 + 0 + 1 + 330 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 156816 + 1333856484 = 396^2 + 36522^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a congruent number.

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 1271176 + ... + 1272224.

Almost surely, 21334013300 is an apocalyptic number.

1334013300 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 1334013300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2178018150).

1334013300 is an abundant number, since it is smaller than the sum of its proper divisors (3022023000).

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

1334013300 is a wasteful number, since it uses less digits than its factorization.

1334013300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1232 (or 1216 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 1334013300 is about 36524.1468072835. The cubic root of 1334013300 is about 1100.8294845405.

Adding to 1334013300 its reverse (33104331), we get a palindrome (1367117631).

The spelling of 1334013300 in words is "one billion, three hundred thirty-four million, thirteen thousand, three hundred".