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1132824330 = 2325113313457
BaseRepresentation
bin100001110000101…
…1000011100001010
32220221121102211200
41003201120130022
54310000334310
6304224205030
740033563561
oct10341303412
92827542750
101132824330
115314a4760
12277469776
13150904371
14aa644bd8
15696bb9c0
hex4385870a

1132824330 has 96 divisors (see below), whose sum is σ = 3223741248. Its totient is φ = 273715200.

The previous prime is 1132824323. The next prime is 1132824337. The reversal of 1132824330 is 334282311.

1132824330 is a `hidden beast` number, since 1 + 1 + 328 + 2 + 4 + 330 = 666.

It is an interprime number because it is at equal distance from previous prime (1132824323) and next prime (1132824337).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1132824294 and 1132824303.

It is not an unprimeable number, because it can be changed into a prime (1132824337) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 325962 + ... + 329418.

It is an arithmetic number, because the mean of its divisors is an integer number (33580638).

Almost surely, 21132824330 is an apocalyptic number.

1132824330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1132824330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1611870624).

1132824330 is an abundant number, since it is smaller than the sum of its proper divisors (2090916918).

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

1132824330 is a wasteful number, since it uses less digits than its factorization.

1132824330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3812 (or 3809 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 1132824330 is about 33657.4557861999. The cubic root of 1132824330 is about 1042.4474931718.

The spelling of 1132824330 in words is "one billion, one hundred thirty-two million, eight hundred twenty-four thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 331 495 662 990 993 1655 1986 2979 3310 3457 3641 4965 5958 6914 7282 9930 10371 10923 14895 17285 18205 20742 21846 29790 31113 32769 34570 36410 38027 51855 54615 62226 65538 76054 103710 109230 114081 155565 163845 190135 228162 311130 327690 342243 380270 570405 684486 1140810 1144267 1711215 2288534 3422430 3432801 5721335 6865602 10298403 11442670 12586937 17164005 20596806 25173874 34328010 37760811 51492015 62934685 75521622 102984030 113282433 125869370 188804055 226564866 377608110 566412165 1132824330