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1134444320 = 25515745161
BaseRepresentation
bin100001110011110…
…0011111100100000
32221001122202001022
41003213203330200
54310404204240
6304323025012
740053421562
oct10347437440
92831582038
101134444320
11532400899
12277b0b168
13151050839
14aa947332
15698db9b5
hex439e3f20

1134444320 has 48 divisors (see below), whose sum is σ = 2697255288. Its totient is φ = 450877440.

The previous prime is 1134444317. The next prime is 1134444373. The reversal of 1134444320 is 234444311.

It can be written as a sum of positive squares in 4 ways, for example, as 924889744 + 209554576 = 30412^2 + 14476^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1134444320.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2540 + ... + 47700.

Almost surely, 21134444320 is an apocalyptic number.

1134444320 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 1134444320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1348627644).

1134444320 is an abundant number, since it is smaller than the sum of its proper divisors (1562810968).

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

1134444320 is a wasteful number, since it uses less digits than its factorization.

1134444320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45333 (or 45325 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

The square root of 1134444320 is about 33681.5130301476. The cubic root of 1134444320 is about 1042.9441721685.

Adding to 1134444320 its reverse (234444311), we get a palindrome (1368888631).

Subtracting from 1134444320 its reverse (234444311), we obtain a palindrome (900000009).

The spelling of 1134444320 in words is "one billion, one hundred thirty-four million, four hundred forty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 157 160 314 628 785 1256 1570 2512 3140 5024 6280 12560 25120 45161 90322 180644 225805 361288 451610 722576 903220 1445152 1806440 3612880 7090277 7225760 14180554 28361108 35451385 56722216 70902770 113444432 141805540 226888864 283611080 567222160 1134444320