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3352400505 = 325233319733
BaseRepresentation
bin1100011111010001…
…1001001001111001
322122122010120221200
43013310121021321
523331203304010
61312353324413
7146034635256
oct30764311171
98578116850
103352400505
111470385133
12796866709
134156cb24c
1423b33a42d
151494a3cc0
hexc7d19279

3352400505 has 24 divisors (see below), whose sum is σ = 5835784968. Its totient is φ = 1780267776.

The previous prime is 3352400497. The next prime is 3352400507. The reversal of 3352400505 is 5050042533.

It can be written as a sum of positive squares in 4 ways, for example, as 384003216 + 2968397289 = 19596^2 + 54483^2 .

It is not a de Polignac number, because 3352400505 - 23 = 3352400497 is a prime.

It is a super-2 number, since 2×33524005052 = 22477178291848510050, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (3352400507) 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 23 ways as a sum of consecutive naturals, for example, 149382 + ... + 170351.

It is an arithmetic number, because the mean of its divisors is an integer number (243157707).

Almost surely, 23352400505 is an apocalyptic number.

It is an amenable number.

3352400505 is a deficient number, since it is larger than the sum of its proper divisors (2483384463).

3352400505 is a wasteful number, since it uses less digits than its factorization.

3352400505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319977 (or 319974 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 27.

The square root of 3352400505 is about 57899.9180051233. The cubic root of 3352400505 is about 1496.6444256782.

The spelling of 3352400505 in words is "three billion, three hundred fifty-two million, four hundred thousand, five hundred five".

Divisors: 1 3 5 9 15 45 233 699 1165 2097 3495 10485 319733 959199 1598665 2877597 4795995 14387985 74497789 223493367 372488945 670480101 1117466835 3352400505