Search a number
-
+
344142204444 = 22337940335467
BaseRepresentation
bin1010000001000000111…
…10010100111000011100
31012220021212021100112000
411000200132110320130
521114300401020234
6422032521442300
733602110321053
oct5004036247034
91186255240460
10344142204444
11122a4a3368a5
1256844640390
13265b61023cc
14129298bd39a
158e42b5a899
hex5020794e1c

344142204444 has 48 divisors (see below), whose sum is σ = 903514483200. Its totient is φ = 113261988528.

The previous prime is 344142204409. The next prime is 344142204449. The reversal of 344142204444 is 444402241443.

It is a happy number.

344142204444 is a `hidden beast` number, since 3 + 4 + 4 + 1 + 4 + 2 + 204 + 444 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 344142204399 and 344142204408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344142204449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20159202 + ... + 20176265.

It is an arithmetic number, because the mean of its divisors is an integer number (18823218400).

Almost surely, 2344142204444 is an apocalyptic number.

It is an amenable number.

344142204444 is an abundant number, since it is smaller than the sum of its proper divisors (559372278756).

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

344142204444 is a wasteful number, since it uses less digits than its factorization.

344142204444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40335559 (or 40335551 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 36.

Adding to 344142204444 its reverse (444402241443), we get a palindrome (788544445887).

The spelling of 344142204444 in words is "three hundred forty-four billion, one hundred forty-two million, two hundred four thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 79 108 158 237 316 474 711 948 1422 2133 2844 4266 8532 40335467 80670934 121006401 161341868 242012802 363019203 484025604 726038406 1089057609 1452076812 2178115218 3186501893 4356230436 6373003786 9559505679 12746007572 19119011358 28678517037 38238022716 57357034074 86035551111 114714068148 172071102222 344142204444