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344431940 = 22517221597
BaseRepresentation
bin10100100001111…
…001110101000100
3220000002221210112
4110201321311010
51201133310230
654102212152
711351423516
oct2441716504
9800087715
10344431940
111674718a6
1297424058
13564869a8
1433a5bbb6
1520388d95
hex14879d44

344431940 has 12 divisors (see below), whose sum is σ = 723307116. Its totient is φ = 137772768.

The previous prime is 344431907. The next prime is 344431949. The reversal of 344431940 is 49134443.

It can be written as a sum of positive squares in 2 ways, for example, as 269747776 + 74684164 = 16424^2 + 8642^2 .

It is a super-2 number, since 2×3444319402 = 237266722584327200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 344431897 and 344431906.

It is not an unprimeable number, because it can be changed into a prime (344431949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8610779 + ... + 8610818.

It is an arithmetic number, because the mean of its divisors is an integer number (60275593).

Almost surely, 2344431940 is an apocalyptic number.

It is an amenable number.

344431940 is an abundant number, since it is smaller than the sum of its proper divisors (378875176).

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

344431940 is a wasteful number, since it uses less digits than its factorization.

344431940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17221606 (or 17221604 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

The square root of 344431940 is about 18558.8776600311. The cubic root of 344431940 is about 700.9727564244.

The spelling of 344431940 in words is "three hundred forty-four million, four hundred thirty-one thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 17221597 34443194 68886388 86107985 172215970 344431940