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29830401 = 323123449
BaseRepresentation
bin111000111001…
…0110100000001
32002010112121200
41301302310001
530114033101
62543211413
7511361046
oct161626401
962115550
1029830401
1115925027
129ba6b69
136245a33
143d671cd
152943986
hex1c72d01

29830401 has 18 divisors (see below), whose sum is σ = 44536050. Its totient is φ = 19239840.

The previous prime is 29830369. The next prime is 29830417. The reversal of 29830401 is 10403892.

It can be written as a sum of positive squares in only one way, i.e., 15992001 + 13838400 = 3999^2 + 3720^2 .

It is not a de Polignac number, because 29830401 - 25 = 29830369 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (29830421) 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 17 ways as a sum of consecutive naturals, for example, 6925 + ... + 10373.

It is an arithmetic number, because the mean of its divisors is an integer number (2474225).

Almost surely, 229830401 is an apocalyptic number.

It is an amenable number.

29830401 is a deficient number, since it is larger than the sum of its proper divisors (14705649).

29830401 is a wasteful number, since it uses less digits than its factorization.

29830401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3517 (or 3483 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 29830401 is about 5461.7214319297. The cubic root of 29830401 is about 310.1366064600.

The spelling of 29830401 in words is "twenty-nine million, eight hundred thirty thousand, four hundred one".

Divisors: 1 3 9 31 93 279 961 2883 3449 8649 10347 31041 106919 320757 962271 3314489 9943467 29830401