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3285414297 = 331137535641
BaseRepresentation
bin1100001111010011…
…0111000110011001
322110222002100011000
43003310313012121
523212031224142
61302001455213
7144262363224
oct30364670631
98428070130
103285414297
111436592430
12778341509
13404876439
142324a05bb
1514367114c
hexc3d37199

3285414297 has 64 divisors (see below), whose sum is σ = 5557144320. Its totient is φ = 1900454400.

The previous prime is 3285414289. The next prime is 3285414299. The reversal of 3285414297 is 7924145823.

It is not a de Polignac number, because 3285414297 - 23 = 3285414289 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (3285414299) 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 63 ways as a sum of consecutive naturals, for example, 579597 + ... + 585237.

It is an arithmetic number, because the mean of its divisors is an integer number (86830380).

Almost surely, 23285414297 is an apocalyptic number.

3285414297 is a gapful number since it is divisible by the number (37) formed by its first and last digit.

It is an amenable number.

3285414297 is a deficient number, since it is larger than the sum of its proper divisors (2271730023).

3285414297 is a wasteful number, since it uses less digits than its factorization.

3285414297 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5751 (or 5745 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 3285414297 is about 57318.5336256956. The cubic root of 3285414297 is about 1486.6088511761.

The spelling of 3285414297 in words is "three billion, two hundred eighty-five million, four hundred fourteen thousand, two hundred ninety-seven".

Divisors: 1 3 9 11 27 33 37 53 99 111 159 297 333 407 477 583 999 1221 1431 1749 1961 3663 5247 5641 5883 10989 15741 16923 17649 21571 50769 52947 62051 64713 152307 186153 194139 208717 298973 558459 582417 626151 896919 1675377 1878453 2295887 2690757 3288703 5635359 6887661 8072271 9866109 11062001 20662983 29598327 33186003 61988949 88794981 99558009 121682011 298674027 365046033 1095138099 3285414297