Search a number
-
+
344104220004432 = 2437168837916759
BaseRepresentation
bin100111000111101100000000…
…1110011001001000001010000
31200010101001010201220002010220
41032033120001303021001100
5330100300420310120212
63215503144002553040
7132323465232134316
oct11617300163110120
91603331121802126
10344104220004432
119a707864461028
1232715853068780
1311a00b72668884
1460d8a399340b6
1529bae18ea238c
hex138f601cc9050

344104220004432 has 20 divisors (see below), whose sum is σ = 888935901678240. Its totient is φ = 114701406668128.

The previous prime is 344104220004409. The next prime is 344104220004463. The reversal of 344104220004432 is 234400022401443.

It is a junction number, because it is equal to n+sod(n) for n = 344104220004393 and 344104220004402.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 3584418958332 + ... + 3584418958427.

It is an arithmetic number, because the mean of its divisors is an integer number (44446795083912).

Almost surely, 2344104220004432 is an apocalyptic number.

It is an amenable number.

344104220004432 is an abundant number, since it is smaller than the sum of its proper divisors (544831681673808).

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

344104220004432 is a wasteful number, since it uses less digits than its factorization.

344104220004432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7168837916770 (or 7168837916764 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 33.

Adding to 344104220004432 its reverse (234400022401443), we get a palindrome (578504242405875).

The spelling of 344104220004432 in words is "three hundred forty-four trillion, one hundred four billion, two hundred twenty million, four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 7168837916759 14337675833518 21506513750277 28675351667036 43013027500554 57350703334072 86026055001108 114701406668144 172052110002216 344104220004432