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34484121 = 3273117657
BaseRepresentation
bin1000001110001…
…0111110011001
32101212222022200
42003202332121
532311442441
63231040413
7566052540
oct203427631
971788280
1034484121
1118513481
12b670109
1371b5009
144819157
1530627b6
hex20e2f99

34484121 has 24 divisors (see below), whose sum is σ = 58765824. Its totient is φ = 19068480.

The previous prime is 34484101. The next prime is 34484123. The reversal of 34484121 is 12148443.

34484121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 34484121 - 25 = 34484089 is a prime.

It is a super-2 number, since 2×344841212 = 2378309202285282, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (34484123) 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 23 ways as a sum of consecutive naturals, for example, 6876 + ... + 10781.

It is an arithmetic number, because the mean of its divisors is an integer number (2448576).

Almost surely, 234484121 is an apocalyptic number.

34484121 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

34484121 is a deficient number, since it is larger than the sum of its proper divisors (24281703).

34484121 is a wasteful number, since it uses less digits than its factorization.

34484121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17701 (or 17698 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 34484121 is about 5872.3181964195. The cubic root of 34484121 is about 325.4915512400.

It can be divided in two parts, 3448 and 4121, that added together give a square (7569 = 872).

The spelling of 34484121 in words is "thirty-four million, four hundred eighty-four thousand, one hundred twenty-one".

Divisors: 1 3 7 9 21 31 63 93 217 279 651 1953 17657 52971 123599 158913 370797 547367 1112391 1642101 3831569 4926303 11494707 34484121