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1335806340 = 2235118922741
BaseRepresentation
bin100111110011110…
…1100100110000100
310110002112222210220
41033213230212010
510213431300330
6340314544340
745050111061
oct11747544604
93402488726
101335806340
11626034090
123134380b0
13183993a6b
14c95a1c68
157c414710
hex4f9ec984

1335806340 has 96 divisors (see below), whose sum is σ = 4126308480. Its totient is φ = 320179200.

The previous prime is 1335806291. The next prime is 1335806347. The reversal of 1335806340 is 436085331.

1335806340 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (1335806347) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47370 + ... + 70110.

It is an arithmetic number, because the mean of its divisors is an integer number (42982380).

Almost surely, 21335806340 is an apocalyptic number.

1335806340 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 1335806340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2063154240).

1335806340 is an abundant number, since it is smaller than the sum of its proper divisors (2790502140).

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

1335806340 is a wasteful number, since it uses less digits than its factorization.

1335806340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22853 (or 22851 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 1335806340 is about 36548.6845180507. The cubic root of 1335806340 is about 1101.3224700353.

The spelling of 1335806340 in words is "one billion, three hundred thirty-five million, eight hundred six thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 89 110 132 165 178 220 267 330 356 445 534 660 890 979 1068 1335 1780 1958 2670 2937 3916 4895 5340 5874 9790 11748 14685 19580 22741 29370 45482 58740 68223 90964 113705 136446 227410 250151 272892 341115 454820 500302 682230 750453 1000604 1250755 1364460 1500906 2023949 2501510 3001812 3752265 4047898 5003020 6071847 7504530 8095796 10119745 12143694 15009060 20239490 22263439 24287388 30359235 40478980 44526878 60718470 66790317 89053756 111317195 121436940 133580634 222634390 267161268 333951585 445268780 667903170 1335806340