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82284345 = 325111319673
BaseRepresentation
bin1001110011110…
…00111100111001
312201211110220100
410321320330321
5132031044340
612055350013
72016256023
oct471707471
9181743810
1082284345
11424a14a0
1223682309
1314080080
14acdd013
157355830
hex4e78f39

82284345 has 96 divisors (see below), whose sum is σ = 176641920. Its totient is φ = 34836480.

The previous prime is 82284277. The next prime is 82284353. The reversal of 82284345 is 54348228.

82284345 is nontrivially palindromic in base 2.

It is not a de Polignac number, because 82284345 - 27 = 82284217 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 121929 + ... + 122601.

It is an arithmetic number, because the mean of its divisors is an integer number (1840020).

Almost surely, 282284345 is an apocalyptic number.

It is an amenable number.

82284345 is an abundant number, since it is smaller than the sum of its proper divisors (94357575).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

82284345 is a wasteful number, since it uses less digits than its factorization.

82284345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 727 (or 724 counting only the distinct ones).

The product of its digits is 61440, while the sum is 36.

The square root of 82284345 is about 9071.0718771268. The cubic root of 82284345 is about 434.9497365626.

The spelling of 82284345 in words is "eighty-two million, two hundred eighty-four thousand, three hundred forty-five".

Divisors: 1 3 5 9 11 13 15 19 33 39 45 55 57 65 95 99 117 143 165 171 195 209 247 285 429 495 585 627 673 715 741 855 1045 1235 1287 1881 2019 2145 2223 2717 3135 3365 3705 6057 6435 7403 8151 8749 9405 10095 11115 12787 13585 22209 24453 26247 30285 37015 38361 40755 43745 63935 66627 78741 96239 111045 115083 122265 131235 140657 166231 191805 288717 333135 393705 421971 481195 498693 575415 703285 831155 866151 1265913 1443585 1496079 1828541 2109855 2493465 4330755 5485623 6329565 7480395 9142705 16456869 27428115 82284345