Search a number
-
+
1341261864 = 233241454357
BaseRepresentation
bin100111111110010…
…0000100000101000
310110110211011101100
41033330200200220
510221330334424
6341031521400
745144352305
oct11774404050
93413734340
101341261864
1162911a988
12315229260
13184b53c97
14ca1c20ac
157cb40dc9
hex4ff20828

1341261864 has 48 divisors (see below), whose sum is σ = 3721192020. Its totient is φ = 436181760.

The previous prime is 1341261863. The next prime is 1341261881. The reversal of 1341261864 is 4681621431.

1341261864 is a `hidden beast` number, since 1 + 34 + 1 + 2 + 618 + 6 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1328602500 + 12659364 = 36450^2 + 3558^2 .

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1341261863) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 224227 + ... + 230130.

Almost surely, 21341261864 is an apocalyptic number.

It is an amenable number.

1341261864 is an abundant number, since it is smaller than the sum of its proper divisors (2379930156).

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

1341261864 is a wasteful number, since it uses less digits than its factorization.

1341261864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454410 (or 454403 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 1341261864 is about 36623.2421284626. The cubic root of 1341261864 is about 1102.8197255561.

The spelling of 1341261864 in words is "one billion, three hundred forty-one million, two hundred sixty-one thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 41 72 82 123 164 246 328 369 492 738 984 1476 2952 454357 908714 1363071 1817428 2726142 3634856 4089213 5452284 8178426 10904568 16356852 18628637 32713704 37257274 55885911 74514548 111771822 149029096 167657733 223543644 335315466 447087288 670630932 1341261864