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1134344120 = 235721344519
BaseRepresentation
bin100001110011100…
…1011011110111000
32221001110122121012
41003213023132320
54310343002440
6304320533052
740052523500
oct10347133670
92831418535
101134344120
11532342588
12277a81188
13151017050
14aa91ca00
15698bbe65
hex439cb7b8

1134344120 has 96 divisors (see below), whose sum is σ = 3197426400. Its totient is φ = 358993152.

The previous prime is 1134344087. The next prime is 1134344131. The reversal of 1134344120 is 214434311.

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 23 ways as a sum of consecutive naturals, for example, 3221 + ... + 47739.

It is an arithmetic number, because the mean of its divisors is an integer number (33306525).

Almost surely, 21134344120 is an apocalyptic number.

1134344120 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 1134344120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1598713200).

1134344120 is an abundant number, since it is smaller than the sum of its proper divisors (2063082280).

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

1134344120 is a wasteful number, since it uses less digits than its factorization.

1134344120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44557 (or 44546 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 1134344120 is about 33680.0255344321. The cubic root of 1134344120 is about 1042.9134651868.

Adding to 1134344120 its reverse (214434311), we get a palindrome (1348778431).

The spelling of 1134344120 in words is "one billion, one hundred thirty-four million, three hundred forty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 49 52 56 65 70 91 98 104 130 140 182 196 245 260 280 364 392 455 490 520 637 728 910 980 1274 1820 1960 2548 3185 3640 5096 6370 12740 25480 44519 89038 178076 222595 311633 356152 445190 578747 623266 890380 1157494 1246532 1558165 1780760 2181431 2314988 2493064 2893735 3116330 4051229 4362862 4629976 5787470 6232660 8102458 8725724 10907155 11574940 12465320 16204916 17451448 20256145 21814310 23149880 28358603 32409832 40512290 43628620 56717206 81024580 87257240 113434412 141793015 162049160 226868824 283586030 567172060 1134344120