Search a number
-
+
3369460342248 = 233271121317250007
BaseRepresentation
bin110001000010000011011…
…111001001110111101000
3102221010011111002021210200
4301002003133021313220
5420201123321422443
611055524140512200
7465302240231040
oct61020337116750
912833144067720
103369460342248
111089a86581200
1246503554b660
131b597b047230
14b91230d4720
155c9a9e64dd3
hex310837c9de8

3369460342248 has 576 divisors, whose sum is σ = 13071658279680. Its totient is φ = 760338247680.

The previous prime is 3369460342217. The next prime is 3369460342271. The reversal of 3369460342248 is 8422430649633.

3369460342248 is a `hidden beast` number, since 3 + 3 + 6 + 9 + 4 + 603 + 4 + 2 + 24 + 8 = 666.

It is a super-2 number, since 2×33694603422482 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3369460342194 and 3369460342203.

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, 13352461 + ... + 13602467.

It is an arithmetic number, because the mean of its divisors is an integer number (22693851180).

Almost surely, 23369460342248 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 3369460342248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6535829139840).

3369460342248 is an abundant number, since it is smaller than the sum of its proper divisors (9702197937432).

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

3369460342248 is a wasteful number, since it uses less digits than its factorization.

3369460342248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250078 (or 250060 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 54.

The spelling of 3369460342248 in words is "three trillion, three hundred sixty-nine billion, four hundred sixty million, three hundred forty-two thousand, two hundred forty-eight".