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1330332040 = 23537898873
BaseRepresentation
bin100111101001011…
…0100000110001000
310102201020212111001
41033102310012020
510211031111130
6340001344344
744652431032
oct11722640610
93381225431
101330332040
11622a35174
123116380b4
131827c812b
14c8978c52
157bbd26ca
hex4f4b4188

1330332040 has 32 divisors (see below), whose sum is σ = 3074149080. Its totient is φ = 517750272.

The previous prime is 1330332037. The next prime is 1330332053. The reversal of 1330332040 is 402330331.

It can be written as a sum of positive squares in 4 ways, for example, as 1303354404 + 26977636 = 36102^2 + 5194^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1330331999 and 1330332017.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 447957 + ... + 450916.

Almost surely, 21330332040 is an apocalyptic number.

1330332040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1330332040 is an abundant number, since it is smaller than the sum of its proper divisors (1743817040).

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

1330332040 is a wasteful number, since it uses less digits than its factorization.

1330332040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 898921 (or 898917 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 19.

The square root of 1330332040 is about 36473.7171124633. The cubic root of 1330332040 is about 1099.8159581903.

Adding to 1330332040 its reverse (402330331), we get a palindrome (1732662371).

The spelling of 1330332040 in words is "one billion, three hundred thirty million, three hundred thirty-two thousand, forty".

Divisors: 1 2 4 5 8 10 20 37 40 74 148 185 296 370 740 1480 898873 1797746 3595492 4494365 7190984 8988730 17977460 33258301 35954920 66516602 133033204 166291505 266066408 332583010 665166020 1330332040