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3413403105 = 357196725537
BaseRepresentation
bin1100101101110100…
…0110010111100001
322210212220211210020
43023131012113201
523442312344410
61322413024053
7150405306360
oct31335062741
98725824706
103413403105
1114a1860302
127b3185029
13425239668
142454997d7
1514ea03a70
hexcb7465e1

3413403105 has 64 divisors (see below), whose sum is σ = 6668482560. Its totient is φ = 1456164864.

The previous prime is 3413403073. The next prime is 3413403151. The reversal of 3413403105 is 5013043143.

It is a happy number.

It is not a de Polignac number, because 3413403105 - 25 = 3413403073 is a prime.

It is a Curzon number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 120897 + ... + 146433.

It is an arithmetic number, because the mean of its divisors is an integer number (104195040).

Almost surely, 23413403105 is an apocalyptic number.

3413403105 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3413403105 is a deficient number, since it is larger than the sum of its proper divisors (3255079455).

3413403105 is a wasteful number, since it uses less digits than its factorization.

3413403105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25638.

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 3413403105 is about 58424.3365815993. The cubic root of 3413403105 is about 1505.6679051479.

Adding to 3413403105 its reverse (5013043143), we get a palindrome (8426446248).

The spelling of 3413403105 in words is "three billion, four hundred thirteen million, four hundred three thousand, one hundred five".

Divisors: 1 3 5 7 15 19 21 35 57 67 95 105 133 201 285 335 399 469 665 1005 1273 1407 1995 2345 3819 6365 7035 8911 19095 25537 26733 44555 76611 127685 133665 178759 383055 485203 536277 893795 1455609 1710979 2426015 2681385 3396421 5132937 7278045 8554895 10189263 11976853 16982105 25664685 32508601 35930559 50946315 59884265 97525803 162543005 179652795 227560207 487629015 682680621 1137801035 3413403105