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1355304040 = 23533882601
BaseRepresentation
bin101000011001000…
…0100110001101000
310111110020120121221
41100302010301220
510233424212130
6342252511424
745404615506
oct12062046150
93443216557
101355304040
11636040a92
12319a7b574
13187a2c66c
14cbdd9676
157deb687a
hex50c84c68

1355304040 has 16 divisors (see below), whose sum is σ = 3049434180. Its totient is φ = 542121600.

The previous prime is 1355304017. The next prime is 1355304047. The reversal of 1355304040 is 404035531.

It can be written as a sum of positive squares in 2 ways, for example, as 1233554884 + 121749156 = 35122^2 + 11034^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1355303996 and 1355304014.

It is not an unprimeable number, because it can be changed into a prime (1355304047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16941261 + ... + 16941340.

Almost surely, 21355304040 is an apocalyptic number.

1355304040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1355304040 is an abundant number, since it is smaller than the sum of its proper divisors (1694130140).

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

1355304040 is a wasteful number, since it uses less digits than its factorization.

1355304040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33882612 (or 33882608 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

The square root of 1355304040 is about 36814.4542265670. The cubic root of 1355304040 is about 1106.6549840705.

Adding to 1355304040 its reverse (404035531), we get a palindrome (1759339571).

The spelling of 1355304040 in words is "one billion, three hundred fifty-five million, three hundred four thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 33882601 67765202 135530404 169413005 271060808 338826010 677652020 1355304040