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3357336141 = 331091140787
BaseRepresentation
bin1100100000011100…
…1110001001001101
322122222102100101000
43020013032021031
523333434224031
61313051210513
7146124613005
oct31007161115
98588370330
103357336141
111473146375
12798446a39
13416738943
1423bc63005
15149b2b3e6
hexc81ce24d

3357336141 has 16 divisors (see below), whose sum is σ = 5019467200. Its totient is φ = 2217687984.

The previous prime is 3357336131. The next prime is 3357336149. The reversal of 3357336141 is 1416337533.

3357336141 is a `hidden beast` number, since 3 + 3 + 5 + 7 + 33 + 614 + 1 = 666.

It is not a de Polignac number, because 3357336141 - 25 = 3357336109 is a prime.

It is a super-3 number, since 3×33573361413 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3357336096 and 3357336105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3357336149) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 567451 + ... + 573336.

It is an arithmetic number, because the mean of its divisors is an integer number (313716700).

Almost surely, 23357336141 is an apocalyptic number.

It is an amenable number.

3357336141 is a deficient number, since it is larger than the sum of its proper divisors (1662131059).

3357336141 is a wasteful number, since it uses less digits than its factorization.

3357336141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1140905 (or 1140899 counting only the distinct ones).

The product of its digits is 68040, while the sum is 36.

The square root of 3357336141 is about 57942.5244617457. The cubic root of 3357336141 is about 1497.3785533471.

The spelling of 3357336141 in words is "three billion, three hundred fifty-seven million, three hundred thirty-six thousand, one hundred forty-one".

Divisors: 1 3 9 27 109 327 981 2943 1140787 3422361 10267083 30801249 124345783 373037349 1119112047 3357336141