Search a number
-
+
344132332404 = 223723917141479
BaseRepresentation
bin1010000000111111110…
…00101010101101110100
31012220021011200210121220
411000133320222231310
521114240334114104
6422031530110340
733601630363440
oct5003770525564
91186234623556
10344132332404
11122a44803893
125684127b3b0
13265b4056b73
141292846d820
158e41d5a7d9
hex501fe2ab74

344132332404 has 48 divisors (see below), whose sum is σ = 921525964800. Its totient is φ = 97912122336.

The previous prime is 344132332387. The next prime is 344132332417. The reversal of 344132332404 is 404233231443.

It is a happy number.

344132332404 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8550664 + ... + 8590815.

It is an arithmetic number, because the mean of its divisors is an integer number (19198457600).

Almost surely, 2344132332404 is an apocalyptic number.

It is an amenable number.

344132332404 is an abundant number, since it is smaller than the sum of its proper divisors (577393632396).

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

344132332404 is a wasteful number, since it uses less digits than its factorization.

344132332404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17141732 (or 17141730 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 33.

Adding to 344132332404 its reverse (404233231443), we get a palindrome (748365563847).

The spelling of 344132332404 in words is "three hundred forty-four billion, one hundred thirty-two million, three hundred thirty-two thousand, four hundred four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 239 478 717 956 1434 1673 2868 3346 5019 6692 10038 20076 17141479 34282958 51424437 68565916 102848874 119990353 205697748 239980706 359971059 479961412 719942118 1439884236 4096813481 8193626962 12290440443 16387253924 24580880886 28677694367 49161761772 57355388734 86033083101 114710777468 172066166202 344132332404