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2005348407 = 317192069503
BaseRepresentation
bin111011110000111…
…0011000000110111
312011202102020212020
41313201303000313
513101332122112
6530553324223
7100460115546
oct16741630067
95152366766
102005348407
11939a6aa37
1247b706673
1325c5ca8ba
1415048c15d
15bb0bc48c
hex77873037

2005348407 has 16 divisors (see below), whose sum is σ = 2980085760. Its totient is φ = 1192033152.

The previous prime is 2005348379. The next prime is 2005348409. The reversal of 2005348407 is 7048435002.

It is not a de Polignac number, because 2005348407 - 212 = 2005344311 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2005348409) 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 15 ways as a sum of consecutive naturals, for example, 1033783 + ... + 1035720.

It is an arithmetic number, because the mean of its divisors is an integer number (186255360).

Almost surely, 22005348407 is an apocalyptic number.

2005348407 is a deficient number, since it is larger than the sum of its proper divisors (974737353).

2005348407 is a wasteful number, since it uses less digits than its factorization.

2005348407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2069542.

The product of its (nonzero) digits is 26880, while the sum is 33.

The square root of 2005348407 is about 44781.1166341350. The cubic root of 2005348407 is about 1261.0431453451.

The spelling of 2005348407 in words is "two billion, five million, three hundred forty-eight thousand, four hundred seven".

Divisors: 1 3 17 19 51 57 323 969 2069503 6208509 35181551 39320557 105544653 117961671 668449469 2005348407