Search a number
-
+
5340310080 = 2635721071061
BaseRepresentation
bin1001111100100111…
…01010101001000000
3111210011201212020020
410332103222221000
541414104410310
62241525213440
7246223613100
oct47623525100
914704655206
105340310080
1122a0514006
121050561280
136715013c1
14389369200
15213c79170
hex13e4eaa40

5340310080 has 336 divisors, whose sum is σ = 19926824256. Its totient is φ = 1208094720.

The previous prime is 5340310049. The next prime is 5340310091. The reversal of 5340310080 is 800130435.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 5340310080.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5032750 + ... + 5033810.

Almost surely, 25340310080 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5340310080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9963412128).

5340310080 is an abundant number, since it is smaller than the sum of its proper divisors (14586514176).

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

5340310080 is a wasteful number, since it uses less digits than its factorization.

5340310080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1202 (or 1185 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 5340310080 is about 73077.4252419993. The cubic root of 5340310080 is about 1747.9224412138.

The spelling of 5340310080 in words is "five billion, three hundred forty million, three hundred ten thousand, eighty".