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3384796041 = 32112412432
BaseRepresentation
bin1100100110111111…
…1110001110001001
322201220002110021100
43021233332032021
523413001433131
61315511532013
7146610202014
oct31157761611
98656073240
103384796041
1114876a1400
127a568a009
1341c3316c3
1424177037b
1514c2527e6
hexc9bfe389

3384796041 has 81 divisors (see below), whose sum is σ = 5639373831. Its totient is φ = 1954814400.

The previous prime is 3384796031. The next prime is 3384796043. The reversal of 3384796041 is 1406974833.

The square root of 3384796041 is 58179.

It is a perfect power (a square), and thus also a powerful number.

3384796041 is a `hidden beast` number, since 3 + 38 + 4 + 7 + 9 + 604 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 163098441 + 3221697600 = 12771^2 + 56760^2 .

It is not a de Polignac number, because 3384796041 - 213 = 3384787849 is a prime.

It is a super-2 number, since 2×33847960412 = 22913688478338547362, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3384796043) 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 80 ways as a sum of consecutive naturals, for example, 78716166 + ... + 78716208.

Almost surely, 23384796041 is an apocalyptic number.

3384796041 is the 58179-th square number.

3384796041 is the 29090-th centered octagonal number.

It is an amenable number.

3384796041 is a deficient number, since it is larger than the sum of its proper divisors (2254577790).

3384796041 is a wasteful number, since it uses less digits than its factorization.

3384796041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The cubic root of 3384796041 is about 1501.4498634791.

The spelling of 3384796041 in words is "three billion, three hundred eighty-four million, seven hundred ninety-six thousand, forty-one".

Divisors: 1 3 9 11 33 41 43 99 121 123 129 363 369 387 451 473 1089 1353 1419 1681 1763 1849 4059 4257 4961 5043 5203 5289 5547 14883 15129 15609 15867 16641 18491 19393 20339 44649 46827 55473 58179 61017 72283 75809 166419 174537 183051 203401 213323 216849 223729 227427 610203 639969 650547 671187 682281 795113 833899 1830609 1919907 2013561 2385339 2501697 3108169 7156017 7505091 8746243 9172889 9324507 26238729 27518667 27973521 34189859 78716187 82556001 102569577 307708731 376088449 1128265347 3384796041