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33401329 = 132197641
BaseRepresentation
bin111111101101…
…0100111110001
32022211222000021
41333122213301
532022320304
63151523441
7553622653
oct177324761
968758007
1033401329
1117943a05
12b229581
136bc6200
1446166d3
152deba54
hex1fda9f1

33401329 has 6 divisors (see below), whose sum is σ = 36168486. Its totient is φ = 30831840.

The previous prime is 33401327. The next prime is 33401363. The reversal of 33401329 is 92310433.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 223729 + 33177600 = 473^2 + 5760^2 .

It is not a de Polignac number, because 33401329 - 21 = 33401327 is a prime.

It is a super-2 number, since 2×334013292 = 2231297557932482, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (33401327) 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 5 ways as a sum of consecutive naturals, for example, 98652 + ... + 98989.

It is an arithmetic number, because the mean of its divisors is an integer number (6028081).

Almost surely, 233401329 is an apocalyptic number.

It is an amenable number.

33401329 is a deficient number, since it is larger than the sum of its proper divisors (2767157).

33401329 is a wasteful number, since it uses less digits than its factorization.

33401329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197667 (or 197654 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 25.

The square root of 33401329 is about 5779.3882894299. The cubic root of 33401329 is about 322.0484765564.

The spelling of 33401329 in words is "thirty-three million, four hundred one thousand, three hundred twenty-nine".

Divisors: 1 13 169 197641 2569333 33401329