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344414337 = 3337443769
BaseRepresentation
bin10100100001110…
…101100010000001
3220000002001122120
4110201311202001
51201132224322
654101554453
711351321301
oct2441654201
9800061576
10344414337
1116745a653
1297415a29
135647b987
1433a55601
1520383a5c
hex14875881

344414337 has 16 divisors (see below), whose sum is σ = 462221760. Its totient is φ = 228114432.

The previous prime is 344414333. The next prime is 344414347. The reversal of 344414337 is 733414443.

It is not a de Polignac number, because 344414337 - 22 = 344414333 is a prime.

It is a super-2 number, since 2×3444143372 = 237242471062299138, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 344414298 and 344414307.

It is not an unprimeable number, because it can be changed into a prime (344414333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 447489 + ... + 448257.

It is an arithmetic number, because the mean of its divisors is an integer number (28888860).

Almost surely, 2344414337 is an apocalyptic number.

It is an amenable number.

344414337 is a deficient number, since it is larger than the sum of its proper divisors (117807423).

344414337 is a wasteful number, since it uses less digits than its factorization.

344414337 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1552.

The product of its digits is 48384, while the sum is 33.

The square root of 344414337 is about 18558.4034065434. The cubic root of 344414337 is about 700.9608146035.

The spelling of 344414337 in words is "three hundred forty-four million, four hundred fourteen thousand, three hundred thirty-seven".

Divisors: 1 3 337 443 769 1011 1329 2307 149291 259153 340667 447873 777459 1022001 114804779 344414337