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3284041728 = 2153113037
BaseRepresentation
bin1100001110111110…
…1000000000000000
322110212111121100010
43003233220000000
523211203313403
61301512224520
7144244615452
oct30357500000
98425447303
103284041728
111435835180
1277799b140
134044b5776
142322242d2
1514349e603
hexc3be8000

3284041728 has 128 divisors (see below), whose sum is σ = 9556575840. Its totient is φ = 994836480.

The previous prime is 3284041711. The next prime is 3284041837. The reversal of 3284041728 is 8271404823.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1079826 + ... + 1082862.

Almost surely, 23284041728 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 3284041728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4778287920).

3284041728 is an abundant number, since it is smaller than the sum of its proper divisors (6272534112).

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

3284041728 is an equidigital number, since it uses as much as digits as its factorization.

3284041728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3081 (or 3053 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 39.

The square root of 3284041728 is about 57306.5592057314. The cubic root of 3284041728 is about 1486.4017989081.

The spelling of 3284041728 in words is "three billion, two hundred eighty-four million, forty-one thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 512 528 704 768 1024 1056 1408 1536 2048 2112 2816 3037 3072 4096 4224 5632 6074 6144 8192 8448 9111 11264 12148 12288 16384 16896 18222 22528 24296 24576 32768 33407 33792 36444 45056 48592 49152 66814 67584 72888 90112 97184 98304 100221 133628 135168 145776 180224 194368 200442 267256 270336 291552 360448 388736 400884 534512 540672 583104 777472 801768 1069024 1081344 1166208 1554944 1603536 2138048 2332416 3109888 3207072 4276096 4664832 6219776 6414144 8552192 9329664 12439552 12828288 17104384 18659328 24879104 25656576 34208768 37318656 49758208 51313152 68417536 74637312 99516416 102626304 136835072 149274624 205252608 273670144 298549248 410505216 547340288 821010432 1094680576 1642020864 3284041728