Search a number
-
+
3684193821 = 337211253157
BaseRepresentation
bin1101101110011000…
…0101011000011101
3100111202110102211000
43123212011120131
530021123200241
61405325020513
7160204062600
oct33346053035
910452412730
103684193821
1116206a4390
128699b4739
1346937b359
1426d428337
15168692eb6
hexdb98561d

3684193821 has 48 divisors (see below), whose sum is σ = 6926402880. Its totient is φ = 1913859360.

The previous prime is 3684193783. The next prime is 3684193831. The reversal of 3684193821 is 1283914863.

It is not a de Polignac number, because 3684193821 - 27 = 3684193693 is a prime.

It is a super-2 number, since 2×36841938212 = 27146568221389160082, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3684193831) 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 47 ways as a sum of consecutive naturals, for example, 112026 + ... + 141131.

It is an arithmetic number, because the mean of its divisors is an integer number (144300060).

Almost surely, 23684193821 is an apocalyptic number.

It is an amenable number.

3684193821 is a deficient number, since it is larger than the sum of its proper divisors (3242209059).

3684193821 is a wasteful number, since it uses less digits than its factorization.

3684193821 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253191 (or 253178 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 3684193821 is about 60697.5602557467. The cubic root of 3684193821 is about 1544.4747880159.

The spelling of 3684193821 in words is "three billion, six hundred eighty-four million, one hundred ninety-three thousand, eight hundred twenty-one".

Divisors: 1 3 7 9 11 21 27 33 49 63 77 99 147 189 231 297 441 539 693 1323 1617 2079 4851 14553 253157 759471 1772099 2278413 2784727 5316297 6835239 8354181 12404693 15948891 19493089 25062543 37214079 47846673 58479267 75187629 111642237 136451623 175437801 334926711 409354869 526313403 1228064607 3684193821