Search a number
-
+
342721439424 = 2632713171931653
BaseRepresentation
bin1001111110010111100…
…10100010011011000000
31012202121211212000022100
410333023302202123000
521103343142030144
6421235525510400
733521646112020
oct4771362423300
91182554760270
10342721439424
11122390355031
1256508872400
132641a963250
1412832d23a80
158dad063269
hex4fcbca26c0

342721439424 has 1344 divisors, whose sum is σ = 1393141800960. Its totient is φ = 77874462720.

The previous prime is 342721439399. The next prime is 342721439429. The reversal of 342721439424 is 424934127243.

342721439424 is a `hidden beast` number, since 3 + 4 + 2 + 7 + 214 + 3 + 9 + 424 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a self number, because there is not a number n which added to its sum of digits gives 342721439424.

It is not an unprimeable number, because it can be changed into a prime (342721439429) 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 191 ways as a sum of consecutive naturals, for example, 524841082 + ... + 524841734.

It is an arithmetic number, because the mean of its divisors is an integer number (1036563840).

Almost surely, 2342721439424 is an apocalyptic number.

342721439424 is a gapful number since it is divisible by the number (34) 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 342721439424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696570900480).

342721439424 is an abundant number, since it is smaller than the sum of its proper divisors (1050420361536).

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

342721439424 is a wasteful number, since it uses less digits than its factorization.

342721439424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758 (or 745 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 45.

The spelling of 342721439424 in words is "three hundred forty-two billion, seven hundred twenty-one million, four hundred thirty-nine thousand, four hundred twenty-four".