Search a number
-
+
1364104008 = 233235935273
BaseRepresentation
bin101000101001110…
…1001001101001000
310112001210122220200
41101103221031020
510243202312013
6343205252200
745542456421
oct12123511510
93461718820
101364104008
11640001593
12320a04060
131897c0c47
14cd24a648
157eb53e73
hex514e9348

1364104008 has 48 divisors (see below), whose sum is σ = 3696177420. Its totient is φ = 454488576.

The previous prime is 1364103997. The next prime is 1364104019. The reversal of 1364104008 is 8004014631.

1364104008 is a `hidden beast` number, since 13 + 641 + 0 + 4 + 0 + 0 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (1364103997) and next prime (1364104019).

It can be written as a sum of positive squares in 2 ways, for example, as 1351444644 + 12659364 = 36762^2 + 3558^2 .

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 11 ways as a sum of consecutive naturals, for example, 256060 + ... + 261332.

Almost surely, 21364104008 is an apocalyptic number.

1364104008 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1364104008 is an abundant number, since it is smaller than the sum of its proper divisors (2332073412).

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

1364104008 is a wasteful number, since it uses less digits than its factorization.

1364104008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8878 (or 8871 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1364104008 is about 36933.7786856422. The cubic root of 1364104008 is about 1109.0449832864.

Adding to 1364104008 its reverse (8004014631), we get a palindrome (9368118639).

The spelling of 1364104008 in words is "one billion, three hundred sixty-four million, one hundred four thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 3593 5273 7186 10546 10779 14372 15819 21092 21558 28744 31638 32337 42184 43116 47457 63276 64674 86232 94914 126552 129348 189828 258696 379656 18945889 37891778 56837667 75783556 113675334 151567112 170513001 227350668 341026002 454701336 682052004 1364104008