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29834973 = 34727517
BaseRepresentation
bin111000111001…
…1111011011101
32002010202220000
41301303323131
530114204343
62543244513
7511410300
oct161637335
962122800
1029834973
1115928503
129ba9739
136247b3c
143d68b37
152944ed3
hex1c73edd

29834973 has 30 divisors (see below), whose sum is σ = 51851646. Its totient is φ = 17046288.

The previous prime is 29834971. The next prime is 29834993. The reversal of 29834973 is 37943892.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 29354724 + 480249 = 5418^2 + 693^2 .

It is not a de Polignac number, because 29834973 - 21 = 29834971 is a prime.

It is a super-2 number, since 2×298349732 = 1780251227821458, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29834971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 211 + ... + 7727.

Almost surely, 229834973 is an apocalyptic number.

It is an amenable number.

29834973 is a deficient number, since it is larger than the sum of its proper divisors (22016673).

29834973 is an equidigital number, since it uses as much as digits as its factorization.

29834973 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7543 (or 7527 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 29834973 is about 5462.1399652517. The cubic root of 29834973 is about 310.1524501640.

The spelling of 29834973 in words is "twenty-nine million, eight hundred thirty-four thousand, nine hundred seventy-three".

Divisors: 1 3 7 9 21 27 49 63 81 147 189 441 567 1323 3969 7517 22551 52619 67653 157857 202959 368333 473571 608877 1104999 1420713 3314997 4262139 9944991 29834973