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344436481 = 6722772
BaseRepresentation
bin10100100001111…
…010111100000001
3220000010012000201
4110201322330001
51201133431411
654102245201
711351442664
oct2441727401
9800105021
10344436481
11167475254
1297426801
1356488a8c
1433a5d6db
152038a3c1
hex1487af01

344436481 has 9 divisors (see below), whose sum is σ = 350920899. Its totient is φ = 338070744.

The previous prime is 344436479. The next prime is 344436511. The reversal of 344436481 is 184634443.

The square root of 344436481 is 18559.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 59367025 + 285069456 = 7705^2 + 16884^2 .

It is not a de Polignac number, because 344436481 - 21 = 344436479 is a prime.

It is a super-2 number, since 2×3444364812 = 237272978887326722, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 344436481.

It is not an unprimeable number, because it can be changed into a prime (344436401) 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 8 ways as a sum of consecutive naturals, for example, 1243315 + ... + 1243591.

It is an arithmetic number, because the mean of its divisors is an integer number (38991211).

Almost surely, 2344436481 is an apocalyptic number.

344436481 is the 18559-th square number.

344436481 is the 9280-th centered octagonal number.

It is an amenable number.

344436481 is a deficient number, since it is larger than the sum of its proper divisors (6484418).

344436481 is an frugal number, since it uses more digits than its factorization.

344436481 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 688 (or 344 counting only the distinct ones).

The product of its digits is 110592, while the sum is 37.

The cubic root of 344436481 is about 700.9758369588.

The spelling of 344436481 in words is "three hundred forty-four million, four hundred thirty-six thousand, four hundred eighty-one".

Divisors: 1 67 277 4489 18559 76729 1243453 5140843 344436481