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3361302441 = 347217311607
BaseRepresentation
bin1100100001011001…
…0110011110101001
322200020212212010000
43020112112132221
523340443134231
61313312213213
7146203412400
oct31026263651
98606785100
103361302441
111475405302
1279983a209
134174c7073
1423c5b6637
1514a1616e6
hexc85967a9

3361302441 has 120 divisors (see below), whose sum is σ = 6388056576. Its totient is φ = 1748355840.

The previous prime is 3361302437. The next prime is 3361302443. The reversal of 3361302441 is 1442031633.

3361302441 is a `hidden beast` number, since 3 + 3 + 613 + 0 + 2 + 4 + 41 = 666.

3361302441 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3361302441 - 22 = 3361302437 is a prime.

It is a super-3 number, since 3×33613024413 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (3361302443) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2090860 + ... + 2092466.

Almost surely, 23361302441 is an apocalyptic number.

3361302441 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

3361302441 is a deficient number, since it is larger than the sum of its proper divisors (3026754135).

3361302441 is a wasteful number, since it uses less digits than its factorization.

3361302441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1681 (or 1665 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 3361302441 is about 57976.7405172109. The cubic root of 3361302441 is about 1497.9679805075.

The spelling of 3361302441 in words is "three billion, three hundred sixty-one million, three hundred two thousand, four hundred forty-one".

Divisors: 1 3 7 9 17 21 27 31 49 51 63 81 93 119 147 153 189 217 279 357 441 459 527 567 651 833 837 1071 1323 1377 1519 1581 1607 1953 2499 2511 3213 3689 3969 4557 4743 4821 5859 7497 9639 11067 11249 13671 14229 14463 17577 22491 25823 27319 33201 33747 41013 42687 43389 49817 67473 77469 78743 81957 99603 101241 123039 130167 149451 191233 232407 236229 245871 298809 303723 348719 448353 573699 697221 708687 737613 846889 911169 1046157 1338631 1345059 1721097 2091663 2126061 2212839 2441033 2540667 3138471 4015893 4035177 5163291 5928223 6378183 7323099 7622001 9415413 12047679 15489873 17784669 21969297 22866003 28246239 36143037 41497561 53354007 65907891 68598009 108429111 124492683 160062021 197723673 373478049 480186063 1120434147 3361302441