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344404401 = 31111818837
BaseRepresentation
bin10100100001110…
…011000110110001
3220000001120000120
4110201303012301
51201131420101
654101440453
711351250315
oct2441630661
9800046016
10344404401
11167453140
1297410129
13564772b3
1433a51b45
1520380b36
hex148731b1

344404401 has 16 divisors (see below), whose sum is σ = 501432768. Its totient is φ = 208529600.

The previous prime is 344404397. The next prime is 344404409. The reversal of 344404401 is 104404443.

It is a cyclic number.

It is not a de Polignac number, because 344404401 - 22 = 344404397 is a prime.

It is a super-2 number, since 2×3444044012 = 237228782856337602, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (344404409) 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 15 ways as a sum of consecutive naturals, for example, 34555 + ... + 43391.

It is an arithmetic number, because the mean of its divisors is an integer number (31339548).

Almost surely, 2344404401 is an apocalyptic number.

It is an amenable number.

344404401 is a deficient number, since it is larger than the sum of its proper divisors (157028367).

344404401 is a wasteful number, since it uses less digits than its factorization.

344404401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10032.

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 344404401 is about 18558.1357091708. The cubic root of 344404401 is about 700.9540738721.

Adding to 344404401 its reverse (104404443), we get a palindrome (448808844).

The spelling of 344404401 in words is "three hundred forty-four million, four hundred four thousand, four hundred one".

Divisors: 1 3 11 33 1181 3543 8837 12991 26511 38973 97207 291621 10436497 31309491 114801467 344404401