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1114265340 = 2232517449811
BaseRepresentation
bin100001001101010…
…0101011011111100
32212122200112200200
41002122211123330
54240222442330
6302322323500
736420045666
oct10232453374
92778615620
101114265340
11521a79051
122711b9590
13149b06b06
14a7db3536
1567c52a60
hex426a56fc

1114265340 has 144 divisors (see below), whose sum is σ = 3591151200. Its totient is φ = 278691840.

The previous prime is 1114265329. The next prime is 1114265363. The reversal of 1114265340 is 435624111.

It is a happy number.

1114265340 is a `hidden beast` number, since 1 + 1 + 1 + 4 + 2 + 653 + 4 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1373535 + ... + 1374345.

It is an arithmetic number, because the mean of its divisors is an integer number (24938550).

Almost surely, 21114265340 is an apocalyptic number.

1114265340 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 1114265340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1795575600).

1114265340 is an abundant number, since it is smaller than the sum of its proper divisors (2476885860).

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

1114265340 is a wasteful number, since it uses less digits than its factorization.

1114265340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1292 (or 1287 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1114265340 is about 33380.6132358290. The cubic root of 1114265340 is about 1036.7233349341.

Adding to 1114265340 its reverse (435624111), we get a palindrome (1549889451).

The spelling of 1114265340 in words is "one billion, one hundred fourteen million, two hundred sixty-five thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 449 510 612 765 811 898 1020 1347 1530 1622 1796 2245 2433 2694 3060 3244 4041 4055 4490 4866 5388 6735 7299 7633 8082 8110 8980 9732 12165 13470 13787 14598 15266 16164 16220 20205 22899 24330 26940 27574 29196 30532 36495 38165 40410 41361 45798 48660 55148 68697 68935 72990 76330 80820 82722 91596 114495 124083 137394 137870 145980 152660 165444 206805 228990 248166 274788 275740 343485 364139 413610 457980 496332 620415 686970 728278 827220 1092417 1240830 1373940 1456556 1820695 2184834 2481660 3277251 3641390 4369668 5462085 6190363 6554502 7282780 10924170 12380726 13109004 16386255 18571089 21848340 24761452 30951815 32772510 37142178 55713267 61903630 65545020 74284356 92855445 111426534 123807260 185710890 222853068 278566335 371421780 557132670 1114265340