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1233134340 = 2235107241797
BaseRepresentation
bin100100110000000…
…0010001100000100
310011221100201022020
41021200002030010
510011140244330
6322210203140
742362316564
oct11140021404
93157321266
101233134340
11583088099
122a4b834b0
13168625cb9
14b9ab6da4
15733d3210
hex49802304

1233134340 has 96 divisors (see below), whose sum is σ = 3503896704. Its totient is φ = 324003840.

The previous prime is 1233134311. The next prime is 1233134359. The reversal of 1233134340 is 434313321.

It is a self number, because there is not a number n which added to its sum of digits gives 1233134340.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1546822 + ... + 1547618.

It is an arithmetic number, because the mean of its divisors is an integer number (36498924).

Almost surely, 21233134340 is an apocalyptic number.

1233134340 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 1233134340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1751948352).

1233134340 is an abundant number, since it is smaller than the sum of its proper divisors (2270762364).

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

1233134340 is a wasteful number, since it uses less digits than its factorization.

1233134340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1157 (or 1155 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 1233134340 is about 35116.0125868527. The cubic root of 1233134340 is about 1072.3505956270.

Adding to 1233134340 its reverse (434313321), we get a palindrome (1667447661).

The spelling of 1233134340 in words is "one billion, two hundred thirty-three million, one hundred thirty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 107 214 241 321 428 482 535 642 723 797 964 1070 1205 1284 1446 1594 1605 2140 2391 2410 2892 3188 3210 3615 3985 4782 4820 6420 7230 7970 9564 11955 14460 15940 23910 25787 47820 51574 77361 85279 103148 128935 154722 170558 192077 255837 257870 309444 341116 384154 386805 426395 511674 515740 576231 768308 773610 852790 960385 1023348 1152462 1279185 1547220 1705580 1920770 2304924 2558370 2881155 3841540 5116740 5762310 11524620 20552239 41104478 61656717 82208956 102761195 123313434 205522390 246626868 308283585 411044780 616567170 1233134340