Search a number
-
+
1934268336 = 243572111371
BaseRepresentation
bin111001101001010…
…1001011110110000
311222210200000100000
41303102221132300
512430133041321
6515534030000
765635003200
oct16322513660
94883600300
101934268336
11902931480
1245b948300
1324a9715a0
14144c68400
15b4c2b826
hex734a97b0

1934268336 has 720 divisors, whose sum is σ = 7780002048. Its totient is φ = 457228800.

The previous prime is 1934268307. The next prime is 1934268353. The reversal of 1934268336 is 6338624391.

1934268336 is a `hidden beast` number, since 193 + 426 + 8 + 3 + 36 = 666.

1934268336 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 1934268291 and 1934268300.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 27243181 + ... + 27243251.

Almost surely, 21934268336 is an apocalyptic number.

1934268336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1934268336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3890001024).

1934268336 is an abundant number, since it is smaller than the sum of its proper divisors (5845733712).

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

1934268336 is a wasteful number, since it uses less digits than its factorization.

1934268336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 107 counting only the distinct ones).

The product of its digits is 559872, while the sum is 45.

The square root of 1934268336 is about 43980.3175977618. The cubic root of 1934268336 is about 1245.9642290787.

It can be divided in two parts, 19342 and 68336, that added together give a palindrome (87678).

The spelling of 1934268336 in words is "one billion, nine hundred thirty-four million, two hundred sixty-eight thousand, three hundred thirty-six".