Search a number
-
+
3345103083 = 371979106123
BaseRepresentation
bin1100011101100010…
…0011100011101011
322122010101211202210
43013120203203223
523322321244313
61311533100203
7145615623060
oct30730434353
98563354683
103345103083
111467250503
12794327663
1341404484a
1423a39ac67
15148a119c3
hexc76238eb

3345103083 has 32 divisors (see below), whose sum is σ = 5433548800. Its totient is φ = 1787943456.

The previous prime is 3345103079. The next prime is 3345103127. The reversal of 3345103083 is 3803015433.

It is not a de Polignac number, because 3345103083 - 22 = 3345103079 is a prime.

It is a super-2 number, since 2×33451030832 = 22379429271792209778, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 3345103083.

It is not an unprimeable number, because it can be changed into a prime (3345103043) 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 31 ways as a sum of consecutive naturals, for example, 21541 + ... + 84582.

It is an arithmetic number, because the mean of its divisors is an integer number (169798400).

Almost surely, 23345103083 is an apocalyptic number.

3345103083 is a deficient number, since it is larger than the sum of its proper divisors (2088445717).

3345103083 is a wasteful number, since it uses less digits than its factorization.

3345103083 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106231.

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 3345103083 is about 57836.8661236067. The cubic root of 3345103083 is about 1495.5576839842.

The spelling of 3345103083 in words is "three billion, three hundred forty-five million, one hundred three thousand, eighty-three".

Divisors: 1 3 7 19 21 57 79 133 237 399 553 1501 1659 4503 10507 31521 106123 318369 742861 2016337 2228583 6049011 8383717 14114359 25151151 42343077 58686019 159290623 176058057 477871869 1115034361 3345103083