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3444380077338 = 233531203487099
BaseRepresentation
bin110010000111110101000…
…011010000110100011010
3110012021112202210011111000
4302013311003100310122
5422413042244433323
611154154254445430
7503563643406504
oct62076503206432
913167482704430
103444380077338
111108831839042
12477663b03876
131bca5a7c9625
14bc9cd276d74
155e8e2424e43
hex321f50d0d1a

3444380077338 has 32 divisors (see below), whose sum is σ = 7798596408000. Its totient is φ = 1126463923728.

The previous prime is 3444380077337. The next prime is 3444380077381. The reversal of 3444380077338 is 8337700834443.

It is a happy number.

It is a super-2 number, since 2×34443800773382 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (3444380077337) 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 15 ways as a sum of consecutive naturals, for example, 601740688 + ... + 601746411.

It is an arithmetic number, because the mean of its divisors is an integer number (243706137750).

Almost surely, 23444380077338 is an apocalyptic number.

3444380077338 is an abundant number, since it is smaller than the sum of its proper divisors (4354216330662).

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

3444380077338 is a wasteful number, since it uses less digits than its factorization.

3444380077338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1203487163 (or 1203487157 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 54.

The spelling of 3444380077338 in words is "three trillion, four hundred forty-four billion, three hundred eighty million, seventy-seven thousand, three hundred thirty-eight".

Divisors: 1 2 3 6 9 18 27 53 54 106 159 318 477 954 1431 2862 1203487099 2406974198 3610461297 7220922594 10831383891 21662767782 32494151673 63784816247 64988303346 127569632494 191354448741 382708897482 574063346223 1148126692446 1722190038669 3444380077338