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3984435 = 3257213139
BaseRepresentation
bin1111001100110000110011
321111102121200
433030300303
52010000220
6221222243
745603300
oct17146063
97442550
103984435
112281624
121401983
13a96770
1475a0a7
1553a890
hex3ccc33

3984435 has 72 divisors (see below), whose sum is σ = 8714160. Its totient is φ = 1669248.

The previous prime is 3984403. The next prime is 3984439. The reversal of 3984435 is 5344893.

It is not a de Polignac number, because 3984435 - 25 = 3984403 is a prime.

3984435 is a lucky number.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 3984435.

It is not an unprimeable number, because it can be changed into a prime (3984439) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 28596 + ... + 28734.

It is an arithmetic number, because the mean of its divisors is an integer number (121030).

Almost surely, 23984435 is an apocalyptic number.

3984435 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

3984435 is an abundant number, since it is smaller than the sum of its proper divisors (4729725).

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

3984435 is a wasteful number, since it uses less digits than its factorization.

3984435 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 167 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 3984435 is about 1996.1049571603. The cubic root of 3984435 is about 158.5339384048.

The spelling of 3984435 in words is "three million, nine hundred eighty-four thousand, four hundred thirty-five".

Divisors: 1 3 5 7 9 13 15 21 35 39 45 49 63 65 91 105 117 139 147 195 245 273 315 417 441 455 585 637 695 735 819 973 1251 1365 1807 1911 2085 2205 2919 3185 4095 4865 5421 5733 6255 6811 8757 9035 9555 12649 14595 16263 20433 27105 28665 34055 37947 43785 61299 63245 81315 88543 102165 113841 189735 265629 306495 442715 569205 796887 1328145 3984435