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1134102304 = 25297316741
BaseRepresentation
bin100001110011001…
…0000011100100000
32221001000100220001
41003212100130200
54310312233204
6304311425344
740050465466
oct10346203440
92831010801
101134102304
11532197935
12277985254
13150c60c6a
14aa898836
15698704a4
hex43990720

1134102304 has 48 divisors (see below), whose sum is σ = 2341536120. Its totient is φ = 539965440.

The previous prime is 1134102287. The next prime is 1134102311. The reversal of 1134102304 is 4032014311.

It can be written as a sum of positive squares in 4 ways, for example, as 1132995600 + 1106704 = 33660^2 + 1052^2 .

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 7 ways as a sum of consecutive naturals, for example, 59374 + ... + 76114.

Almost surely, 21134102304 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 1134102304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1170768060).

1134102304 is an abundant number, since it is smaller than the sum of its proper divisors (1207433816).

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

1134102304 is a wasteful number, since it uses less digits than its factorization.

1134102304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16853 (or 16845 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 1134102304 is about 33676.4354408242. The cubic root of 1134102304 is about 1042.8393515556.

Adding to 1134102304 its reverse (4032014311), we get a palindrome (5166116615).

The spelling of 1134102304 in words is "one billion, one hundred thirty-four million, one hundred two thousand, three hundred four".

Divisors: 1 2 4 8 16 29 32 58 73 116 146 232 292 464 584 928 1168 2117 2336 4234 8468 16741 16936 33482 33872 66964 67744 133928 267856 485489 535712 970978 1222093 1941956 2444186 3883912 4888372 7767824 9776744 15535648 19553488 35440697 39106976 70881394 141762788 283525576 567051152 1134102304