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1335443940 = 2232523322571
BaseRepresentation
bin100111110011001…
…0100000111100100
310110001212120200200
41033212110013210
510213333201230
6340303110500
745044041365
oct11746240744
93401776620
101335443940
11625906886
123132a2430
13183897b1c
14c9509b6c
157c392160
hex4f9941e4

1335443940 has 72 divisors (see below), whose sum is σ = 4226983488. Its totient is φ = 340633920.

The previous prime is 1335443929. The next prime is 1335443953. The reversal of 1335443940 is 493445331.

1335443940 is a `hidden beast` number, since 133 + 54 + 439 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1335443895 and 1335443904.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 157146 + ... + 165425.

It is an arithmetic number, because the mean of its divisors is an integer number (58708104).

Almost surely, 21335443940 is an apocalyptic number.

1335443940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1335443940 is an abundant number, since it is smaller than the sum of its proper divisors (2891539548).

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

1335443940 is a wasteful number, since it uses less digits than its factorization.

1335443940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322609 (or 322604 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 1335443940 is about 36543.7264109724. The cubic root of 1335443940 is about 1101.2228659360. Note that the first 3 decimals are identical.

The spelling of 1335443940 in words is "one billion, three hundred thirty-five million, four hundred forty-three thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 60 69 90 92 115 138 180 207 230 276 345 414 460 690 828 1035 1380 2070 4140 322571 645142 967713 1290284 1612855 1935426 2903139 3225710 3870852 4838565 5806278 6451420 7419133 9677130 11612556 14515695 14838266 19354260 22257399 29031390 29676532 37095665 44514798 58062780 66772197 74191330 89029596 111286995 133544394 148382660 222573990 267088788 333860985 445147980 667721970 1335443940