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414342344 = 23133984061
BaseRepresentation
bin11000101100100…
…101110011001000
31001212122202211202
4120230211303020
51322032423334
6105040443332
713160565113
oct3054456310
91055582752
10414342344
111a2981599
12b6919548
1367ac37b0
143d05957a
152659817e
hex18b25cc8

414342344 has 16 divisors (see below), whose sum is σ = 836653020. Its totient is φ = 191234880.

The previous prime is 414342319. The next prime is 414342347. The reversal of 414342344 is 443243414.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 387696100 + 26646244 = 19690^2 + 5162^2 .

It is not an unprimeable number, because it can be changed into a prime (414342347) 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, 1991927 + ... + 1992134.

Almost surely, 2414342344 is an apocalyptic number.

It is an amenable number.

414342344 is an abundant number, since it is smaller than the sum of its proper divisors (422310676).

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

414342344 is a wasteful number, since it uses less digits than its factorization.

414342344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3984080 (or 3984076 counting only the distinct ones).

The product of its digits is 18432, while the sum is 29.

The square root of 414342344 is about 20355.4008557925. The cubic root of 414342344 is about 745.5093698362.

Adding to 414342344 its reverse (443243414), we get a palindrome (857585758).

The spelling of 414342344 in words is "four hundred fourteen million, three hundred forty-two thousand, three hundred forty-four".

Divisors: 1 2 4 8 13 26 52 104 3984061 7968122 15936244 31872488 51792793 103585586 207171172 414342344