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3288243465 = 335133779641
BaseRepresentation
bin1100001111111110…
…1001110100001001
322111011102002001000
43003333221310021
523213242242330
61302142245213
7144325415433
oct30377516411
98434362030
103288243465
111438144a91
12779286809
134053270c0
142329d9653
15143a2e560
hexc3fe9d09

3288243465 has 128 divisors (see below), whose sum is σ = 6557644800. Its totient is φ = 1552711680.

The previous prime is 3288243457. The next prime is 3288243467. The reversal of 3288243465 is 5643428823.

3288243465 is a `hidden beast` number, since 3 + 288 + 24 + 346 + 5 = 666.

It is not a de Polignac number, because 3288243465 - 23 = 3288243457 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 3288243465.

It is not an unprimeable number, because it can be changed into a prime (3288243467) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5129545 + ... + 5130185.

It is an arithmetic number, because the mean of its divisors is an integer number (51231600).

Almost surely, 23288243465 is an apocalyptic number.

It is an amenable number.

3288243465 is a deficient number, since it is larger than the sum of its proper divisors (3269401335).

3288243465 is a wasteful number, since it uses less digits than its factorization.

3288243465 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 784 (or 778 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 45.

The square root of 3288243465 is about 57343.2076622855. The cubic root of 3288243465 is about 1487.0354497845.

It can be divided in two parts, 3288 and 243465, that added together give a triangular number (246753 = T702).

The spelling of 3288243465 in words is "three billion, two hundred eighty-eight million, two hundred forty-three thousand, four hundred sixty-five".

Divisors: 1 3 5 9 13 15 27 37 39 45 65 79 111 117 135 185 195 237 333 351 395 481 555 585 641 711 999 1027 1185 1443 1665 1755 1923 2133 2405 2923 3081 3205 3555 4329 4995 5135 5769 7215 8333 8769 9243 9615 10665 12987 14615 15405 17307 21645 23717 24999 26307 27729 28845 37999 41665 43845 46215 50639 64935 71151 74997 78921 86535 113997 118585 124995 131535 138645 151917 189995 213453 224991 253195 308321 341991 355755 374985 394605 455751 569985 640359 658307 759585 924963 1025973 1067265 1124955 1367253 1541605 1709955 1873643 1974921 2278755 2774889 3201795 3291535 4624815 5129865 5620929 5924763 6836265 8324667 9368215 9874605 13874445 16862787 17774289 24357359 28104645 29623815 41623335 50588361 73072077 84313935 88871445 121786795 219216231 252941805 365360385 657648693 1096081155 3288243465