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3345233805 = 3254313712619
BaseRepresentation
bin1100011101100100…
…0011011110001101
322122010122111002100
43013121003132031
523322334440210
61311535545313
7145620006144
oct30731033615
98563574070
103345233805
11146732a741
1279438b239
1341408c1b4
1423a3d275b
15148a3a5c0
hexc764378d

3345233805 has 48 divisors (see below), whose sum is σ = 5977033920. Its totient is φ = 1729776384.

The previous prime is 3345233767. The next prime is 3345233809. The reversal of 3345233805 is 5083325433.

3345233805 is a `hidden beast` number, since 3 + 345 + 233 + 80 + 5 = 666.

It is not a de Polignac number, because 3345233805 - 26 = 3345233741 is a prime.

It is a super-2 number, since 2×33452338052 = 22381178420229556050, which contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 3345233805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3345233809) 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, 258786 + ... + 271404.

It is an arithmetic number, because the mean of its divisors is an integer number (124521540).

Almost surely, 23345233805 is an apocalyptic number.

It is an amenable number.

3345233805 is a deficient number, since it is larger than the sum of its proper divisors (2631800115).

3345233805 is a wasteful number, since it uses less digits than its factorization.

3345233805 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12810 (or 12807 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The square root of 3345233805 is about 57837.9962049171. The cubic root of 3345233805 is about 1495.5771651721.

The spelling of 3345233805 in words is "three billion, three hundred forty-five million, two hundred thirty-three thousand, eight hundred five".

Divisors: 1 3 5 9 15 43 45 129 137 215 387 411 645 685 1233 1935 2055 5891 6165 12619 17673 29455 37857 53019 63095 88365 113571 189285 265095 542617 567855 1627851 1728803 2713085 4883553 5186409 8139255 8644015 15559227 24417765 25932045 74338529 77796135 223015587 371692645 669046761 1115077935 3345233805