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3361920381 = 3229372972
BaseRepresentation
bin1100100001100010…
…1101010101111101
322200022001020202200
43020120231111331
523341122423011
61313333342113
7146211565101
oct31030552575
98608036680
103361920381
1114757975a6
12799a97939
13417682401
1423c6d7901
1514a234856
hexc862d57d

3361920381 has 54 divisors (see below), whose sum is σ = 5216776110. Its totient is φ = 2083802112.

The previous prime is 3361920379. The next prime is 3361920407. The reversal of 3361920381 is 1830291633.

3361920381 is a `hidden beast` number, since 3 + 3 + 619 + 2 + 0 + 38 + 1 = 666.

It can be written as a sum of positive squares in 9 ways, for example, as 1863225 + 3360057156 = 1365^2 + 57966^2 .

It is not a de Polignac number, because 3361920381 - 21 = 3361920379 is a prime.

It is a super-2 number, since 2×33619203812 = 22605017296366370322, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3361920301) 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 53 ways as a sum of consecutive naturals, for example, 34658925 + ... + 34659021.

It is an arithmetic number, because the mean of its divisors is an integer number (96606965).

Almost surely, 23361920381 is an apocalyptic number.

It is an amenable number.

3361920381 is a deficient number, since it is larger than the sum of its proper divisors (1854855729).

3361920381 is an equidigital number, since it uses as much as digits as its factorization.

3361920381 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 3361920381 is about 57982.0694784172. The cubic root of 3361920381 is about 1498.0597700873.

The spelling of 3361920381 in words is "three billion, three hundred sixty-one million, nine hundred twenty thousand, three hundred eighty-one".

Divisors: 1 3 9 29 37 87 97 111 261 291 333 873 1073 1369 2813 3219 3589 4107 8439 9409 9657 10767 12321 25317 28227 32301 39701 84681 104081 119103 132793 272861 312243 348133 357309 398379 818583 936729 1044399 1195137 2455749 3133197 3850997 10095857 11552991 12880921 30287571 34658973 38642763 90862713 115928289 373546709 1120640127 3361920381