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344148417 = 32197319381
BaseRepresentation
bin10100100000110…
…100100111000001
3212222120112212200
4110200310213001
51201100222132
654052143413
711346133104
oct2440644701
9788515780
10344148417
11167298888
1297307b69
13563b7922
14339c673b
152032ed7c
hex148349c1

344148417 has 12 divisors (see below), whose sum is σ = 497380884. Its totient is φ = 229304160.

The previous prime is 344148407. The next prime is 344148419. The reversal of 344148417 is 714841443.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 170145936 + 174002481 = 13044^2 + 13191^2 .

It is not a de Polignac number, because 344148417 - 216 = 344082881 is a prime.

It is not an unprimeable number, because it can be changed into a prime (344148419) 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 11 ways as a sum of consecutive naturals, for example, 8067 + ... + 27447.

It is an arithmetic number, because the mean of its divisors is an integer number (41448407).

Almost surely, 2344148417 is an apocalyptic number.

It is an amenable number.

344148417 is a deficient number, since it is larger than the sum of its proper divisors (153232467).

344148417 is a wasteful number, since it uses less digits than its factorization.

344148417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21360 (or 21357 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

The square root of 344148417 is about 18551.2376137011. The cubic root of 344148417 is about 700.7803657729.

The spelling of 344148417 in words is "three hundred forty-four million, one hundred forty-eight thousand, four hundred seventeen".

Divisors: 1 3 9 1973 5919 17757 19381 58143 174429 38238713 114716139 344148417