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3345181821 = 34317091879
BaseRepresentation
bin1100011101100011…
…0110110001111101
322122010112211210000
43013120312301331
523322331304241
61311534504513
7145616401452
oct30730666175
98563484700
103345181821
1114672a4683
12794365139
13414071637
1423a3bb829
15148a29eb6
hexc7636c7d

3345181821 has 40 divisors (see below), whose sum is σ = 5168345600. Its totient is φ = 2153990880.

The previous prime is 3345181793. The next prime is 3345181909. The reversal of 3345181821 is 1281815433.

It is not a de Polignac number, because 3345181821 - 25 = 3345181789 is a prime.

It is a super-2 number, since 2×33451818212 = 22380482831097752082, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3345181321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1779360 + ... + 1781238.

It is an arithmetic number, because the mean of its divisors is an integer number (129208640).

Almost surely, 23345181821 is an apocalyptic number.

3345181821 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

3345181821 is a deficient number, since it is larger than the sum of its proper divisors (1823163779).

3345181821 is a wasteful number, since it uses less digits than its factorization.

3345181821 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2631 (or 2622 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 3345181821 is about 57837.5468100092. The cubic root of 3345181821 is about 1495.5694181813.

The spelling of 3345181821 in words is "three billion, three hundred forty-five million, one hundred eighty-one thousand, eight hundred twenty-one".

Divisors: 1 3 9 27 31 81 93 279 709 837 1879 2127 2511 5637 6381 16911 19143 21979 50733 57429 58249 65937 152199 174747 197811 524241 593433 1332211 1572723 1780299 3996633 4718169 11989899 35969697 41298541 107909091 123895623 371686869 1115060607 3345181821