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1134313024 = 26137571801
BaseRepresentation
bin100001110011100…
…0011111001000000
32221001102001221111
41003213003321000
54310341004044
6304320133104
740052334025
oct10347037100
92831361844
101134313024
11532321189
12277a67194
13151005b50
14aa91154c
15698b2b34
hex439c3e40

1134313024 has 56 divisors (see below), whose sum is σ = 2428598648. Its totient is φ = 522547200.

The previous prime is 1134313021. The next prime is 1134313031. The reversal of 1134313024 is 4203134311.

It can be written as a sum of positive squares in 4 ways, for example, as 2663424 + 1131649600 = 1632^2 + 33640^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1134312986 and 1134313004.

It is not an unprimeable number, because it can be changed into a prime (1134313021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 628924 + ... + 630724.

It is an arithmetic number, because the mean of its divisors is an integer number (43367833).

Almost surely, 21134313024 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 1134313024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1214299324).

1134313024 is an abundant number, since it is smaller than the sum of its proper divisors (1294285624).

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

1134313024 is a wasteful number, since it uses less digits than its factorization.

1134313024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2583 (or 2573 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 1134313024 is about 33679.5638926635. The cubic root of 1134313024 is about 1042.9039352352.

Adding to 1134313024 its reverse (4203134311), we get a palindrome (5337447335).

The spelling of 1134313024 in words is "one billion, one hundred thirty-four million, three hundred thirteen thousand, twenty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 416 757 832 1514 1801 3028 3602 6056 7204 9841 12112 14408 19682 23413 24224 28816 39364 46826 48448 57632 78728 93652 115264 157456 187304 314912 374608 629824 749216 1363357 1498432 2726714 5453428 10906856 17723641 21813712 35447282 43627424 70894564 87254848 141789128 283578256 567156512 1134313024