Search a number
3340673187840 = 21532517711877
BaseRepresentation
bin110000100111001111101…
…000111000000000000000
3102211100212020222022210200
4300213033220320000000
5414213144314002330
611034403432125200
7463232665401132
oct60471750700000
912740766868720
103340673187840
111078853a17aaa
1245b540836800
131b3041023461
14b7991ba1052
155bd72a62a60
hex309cfa38000

3340673187840 has 768 divisors, whose sum is σ = 12441378306240. Its totient is φ = 826194001920.

The previous prime is 3340673187827. The next prime is 3340673187919. The reversal of 3340673187840 is 487813760433.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×33406731878402 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

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, 1779792982 + ... + 1779794858.

Almost surely, 23340673187840 is an apocalyptic number.

3340673187840 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 3340673187840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6220689153120).

3340673187840 is an abundant number, since it is smaller than the sum of its proper divisors (9100705118400).

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

3340673187840 is a wasteful number, since it uses less digits than its factorization.

3340673187840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2006 (or 1975 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 3340673187840 in words is "three trillion, three hundred forty billion, six hundred seventy-three million, one hundred eighty-seven thousand, eight hundred forty".