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33986401 is a prime number
BaseRepresentation
bin1000000110100…
…1011101100001
32100221200120121
42001221131201
532200031101
63212240241
7561610501
oct201513541
970850517
1033986401
1118203539
12b470081
13706c5c7
144729a01
152eb50a1
hex2069761

33986401 has 2 divisors, whose sum is σ = 33986402. Its totient is φ = 33986400.

The previous prime is 33986389. The next prime is 33986413. The reversal of 33986401 is 10468933.

It is a balanced prime because it is at equal distance from previous prime (33986389) and next prime (33986413).

It can be written as a sum of positive squares in only one way, i.e., 28901376 + 5085025 = 5376^2 + 2255^2 .

It is a cyclic number.

It is not a de Polignac number, because 33986401 - 27 = 33986273 is a prime.

It is not a weakly prime, because it can be changed into another prime (33986431) 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 as a sum of consecutive naturals, namely, 16993200 + 16993201.

It is an arithmetic number, because the mean of its divisors is an integer number (16993201).

Almost surely, 233986401 is an apocalyptic number.

It is an amenable number.

33986401 is a deficient number, since it is larger than the sum of its proper divisors (1).

33986401 is an equidigital number, since it uses as much as digits as its factorization.

33986401 is an odious number, because the sum of its binary digits is odd.

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

The square root of 33986401 is about 5829.7856735904. The cubic root of 33986401 is about 323.9179827201.

The spelling of 33986401 in words is "thirty-three million, nine hundred eighty-six thousand, four hundred one".