344114500 has 72 divisors (see below), whose sum is σ = 786246552. Its totient is φ = 131560000.

The previous prime is 344114497. The next prime is 344114513. The reversal of 344114500 is 5411443.

It can be written as a sum of positive squares in 4 ways, for example, as 105226564 + 238887936 = 10258^2 + 15456^2 .

It is a super-2 number, since 2×344114500² = 236829578220500000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 263850 + ... + 265150.

It is an arithmetic number, because the mean of its divisors is an integer number (10920091).

Almost surely, 2^344114500 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 344114500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393123276).

344114500 is an abundant number, since it is smaller than the sum of its proper divisors (442132052).

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

344114500 is a wasteful number, since it uses less digits than its factorization.

344114500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1366 (or 1331 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 344114500 is about 18550.3234473149. The cubic root of 344114500 is about 700.7573435851.

Adding to 344114500 its reverse (5411443), we get a palindrome (349525943).

The spelling of 344114500 in words is "three hundred forty-four million, one hundred fourteen thousand, five hundred".