Search a number
-
+
33308912340 = 223451123181449
BaseRepresentation
bin11111000001010111…
…011010101011010100
310011222100121001210000
4133001113122223110
51021204040143330
623145113331300
72256266040414
oct370127325324
9104870531700
1033308912340
1113143015930
126557106b30
1331aaa77bb2
14187daa4644
15cee38c560
hex7c15daad4

33308912340 has 480 divisors, whose sum is σ = 119870150400. Its totient is φ = 7664025600.

The previous prime is 33308912321. The next prime is 33308912347. The reversal of 33308912340 is 4321980333.

33308912340 is a `hidden beast` number, since 3 + 3 + 308 + 9 + 1 + 2 + 340 = 666.

It is a super-2 number, since 2×333089123402 (a number of 22 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 33308912295 and 33308912304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33308912347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 74184436 + ... + 74184884.

It is an arithmetic number, because the mean of its divisors is an integer number (249729480).

Almost surely, 233308912340 is an apocalyptic number.

33308912340 is a gapful number since it is divisible by the number (30) 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 33308912340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59935075200).

33308912340 is an abundant number, since it is smaller than the sum of its proper divisors (86561238060).

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

33308912340 is a wasteful number, since it uses less digits than its factorization.

33308912340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685 (or 674 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 33308912340 in words is "thirty-three billion, three hundred eight million, nine hundred twelve thousand, three hundred forty".