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1330000002 = 232375773461
BaseRepresentation
bin100111101000110…
…0011000010000010
310102200122000000100
41033101203002002
510210440000002
6335550303230
744646546012
oct11721430202
93380560010
101330000002
11622828761
123114b7b16
1318270cc66
14c88cdc42
157bb6911c
hex4f463082

1330000002 has 48 divisors (see below), whose sum is σ = 2965535352. Its totient is φ = 430479360.

The previous prime is 1329999977. The next prime is 1330000013. The reversal of 1330000002 is 2000000331.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1329258681 + 741321 = 36459^2 + 861^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

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, 382552 + ... + 386012.

Almost surely, 21330000002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1330000002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1482767676).

1330000002 is an abundant number, since it is smaller than the sum of its proper divisors (1635535350).

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

1330000002 is a wasteful number, since it uses less digits than its factorization.

1330000002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4083 (or 4080 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 1330000002 is about 36469.1650850414. The cubic root of 1330000002 is about 1099.7244494375.

Adding to 1330000002 its reverse (2000000331), we get a palindrome (3330000333).

The spelling of 1330000002 in words is "one billion, three hundred thirty million, two", and thus it is an aban number.

Divisors: 1 2 3 6 9 18 37 74 111 222 333 577 666 1154 1731 3461 3462 5193 6922 10383 10386 20766 21349 31149 42698 62298 64047 128057 128094 192141 256114 384171 384282 768342 1152513 1996997 2305026 3993994 5990991 11981982 17972973 35945946 73888889 147777778 221666667 443333334 665000001 1330000002