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1134264340 = 2251110151047
BaseRepresentation
bin100001110011011…
…1000000000010100
32221001022121011101
41003212320000110
54310332424330
6304315115444
740052042056
oct10346700024
92831277141
101134264340
11532298650
12277a42b84
13150cb9941
14aa8db8d6
15698a34ca
hex439b8014

1134264340 has 48 divisors (see below), whose sum is σ = 2624275584. Its totient is φ = 408368000.

The previous prime is 1134264311. The next prime is 1134264347. The reversal of 1134264340 is 434624311.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 1134264299 and 1134264308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1134264347) 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 15 ways as a sum of consecutive naturals, for example, 3304 + ... + 47743.

It is an arithmetic number, because the mean of its divisors is an integer number (54672408).

Almost surely, 21134264340 is an apocalyptic number.

1134264340 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 1134264340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1312137792).

1134264340 is an abundant number, since it is smaller than the sum of its proper divisors (1490011244).

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

1134264340 is a wasteful number, since it uses less digits than its factorization.

1134264340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51168 (or 51166 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The square root of 1134264340 is about 33678.8411320817. The cubic root of 1134264340 is about 1042.8890147619.

Adding to 1134264340 its reverse (434624311), we get a palindrome (1568888651).

The spelling of 1134264340 in words is "one billion, one hundred thirty-four million, two hundred sixty-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 101 110 202 220 404 505 1010 1111 2020 2222 4444 5555 11110 22220 51047 102094 204188 255235 510470 561517 1020940 1123034 2246068 2807585 5155747 5615170 10311494 11230340 20622988 25778735 51557470 56713217 103114940 113426434 226852868 283566085 567132170 1134264340