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344153121 = 31322989263
BaseRepresentation
bin10100100000110…
…101110000100001
3212222120210022220
4110200311300201
51201100344441
654052221253
711346152604
oct2440656041
9788523286
10344153121
111672a1374
129730a829
13563b9b00
14339c833b
1520331466
hex14835c21

344153121 has 48 divisors (see below), whose sum is σ = 521769600. Its totient is φ = 201417216.

The previous prime is 344153119. The next prime is 344153143. The reversal of 344153121 is 121351443.

It is a happy number.

It is not a de Polignac number, because 344153121 - 21 = 344153119 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 344153091 and 344153100.

It is not an unprimeable number, because it can be changed into a prime (344153101) 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 47 ways as a sum of consecutive naturals, for example, 1308436 + ... + 1308698.

It is an arithmetic number, because the mean of its divisors is an integer number (10870200).

Almost surely, 2344153121 is an apocalyptic number.

It is an amenable number.

344153121 is a deficient number, since it is larger than the sum of its proper divisors (177616479).

344153121 is a wasteful number, since it uses less digits than its factorization.

344153121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 397 counting only the distinct ones).

The product of its digits is 1440, while the sum is 24.

The square root of 344153121 is about 18551.3643972620. The cubic root of 344153121 is about 700.7835586355.

The spelling of 344153121 in words is "three hundred forty-four million, one hundred fifty-three thousand, one hundred twenty-one".

Divisors: 1 3 13 29 39 87 89 169 263 267 377 507 789 1131 1157 2581 3419 3471 4901 7627 7743 10257 14703 15041 22881 23407 33553 44447 45123 70221 99151 100659 133341 297453 304291 436189 678803 912873 1288963 1308567 2036409 3866889 3955783 8824439 11867349 26473317 114717707 344153121