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33806941 = 723593559
BaseRepresentation
bin1000000011110…
…1101001011101
32100121120101221
42000331221131
532123310231
63204333341
7560232340
oct200755135
970546357
1033806941
11180a0723
12b3a4251
137008a0c
1446c0457
152e7bd11
hex203da5d

33806941 has 16 divisors (see below), whose sum is σ = 41011200. Its totient is φ = 27240048.

The previous prime is 33806923. The next prime is 33806963. The reversal of 33806941 is 14960833.

33806941 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 33806941 - 211 = 33804893 is a prime.

It is a super-2 number, since 2×338069412 = 2285818519554962, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 33806897 and 33806906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33806911) 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, 7720 + ... + 11278.

It is an arithmetic number, because the mean of its divisors is an integer number (2563200).

Almost surely, 233806941 is an apocalyptic number.

It is an amenable number.

33806941 is a deficient number, since it is larger than the sum of its proper divisors (7204259).

33806941 is a wasteful number, since it uses less digits than its factorization.

33806941 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3648.

The product of its (nonzero) digits is 15552, while the sum is 34.

The square root of 33806941 is about 5814.3736550036. The cubic root of 33806941 is about 323.3468431195.

The spelling of 33806941 in words is "thirty-three million, eight hundred six thousand, nine hundred forty-one".

Divisors: 1 7 23 59 161 413 1357 3559 9499 24913 81857 209981 572999 1469867 4829563 33806941