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3284424 = 23321121329
BaseRepresentation
bin1100100001110111001000
320011212101100
430201313020
51320100144
6154221400
736626403
oct14416710
96155340
103284424
111943700
121124860
138acc60
14616d3a
1544d269
hex321dc8

3284424 has 144 divisors (see below), whose sum is σ = 10892700. Its totient is φ = 887040.

The previous prime is 3284371. The next prime is 3284441. The reversal of 3284424 is 4244823.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 3175524 + 108900 = 1782^2 + 330^2 .

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 113242 + ... + 113270.

Almost surely, 23284424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3284424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5446350).

3284424 is an abundant number, since it is smaller than the sum of its proper divisors (7608276).

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

3284424 is a wasteful number, since it uses less digits than its factorization.

3284424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 58 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

The square root of 3284424 is about 1812.2979887425. The cubic root of 3284424 is about 148.6459470500.

The spelling of 3284424 in words is "three million, two hundred eighty-four thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 11 12 13 18 22 24 26 29 33 36 39 44 52 58 66 72 78 87 88 99 104 116 117 121 132 143 156 174 198 232 234 242 261 264 286 312 319 348 363 377 396 429 468 484 522 572 638 696 726 754 792 858 936 957 968 1044 1089 1131 1144 1276 1287 1452 1508 1573 1716 1914 2088 2178 2262 2552 2574 2871 2904 3016 3146 3393 3432 3509 3828 4147 4356 4524 4719 5148 5742 6292 6786 7018 7656 8294 8712 9048 9438 10296 10527 11484 12441 12584 13572 14036 14157 16588 18876 21054 22968 24882 27144 28072 28314 31581 33176 37323 37752 42108 45617 49764 56628 63162 74646 84216 91234 99528 113256 126324 136851 149292 182468 252648 273702 298584 364936 410553 547404 821106 1094808 1642212 3284424