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23284080 = 2432573443
BaseRepresentation
bin101100011010…
…0100101110000
31121210221202100
41120310211300
521430042310
62151020400
7401624421
oct130644560
947727670
1023284080
1112163746
12796a700
134a93181
143141648
15209dec0
hex1634970

23284080 has 120 divisors (see below), whose sum is σ = 79445808. Its totient is φ = 6110208.

The previous prime is 23284057. The next prime is 23284087. The reversal of 23284080 is 8048232.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23284087) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 52339 + ... + 52781.

Almost surely, 223284080 is an apocalyptic number.

23284080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23284080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39722904).

23284080 is an abundant number, since it is smaller than the sum of its proper divisors (56161728).

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

23284080 is a wasteful number, since it uses less digits than its factorization.

23284080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 23284080 is about 4825.3580178055. The cubic root of 23284080 is about 285.5527591755.

The spelling of 23284080 in words is "twenty-three million, two hundred eighty-four thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 73 80 90 120 144 146 180 219 240 292 360 365 438 443 584 657 720 730 876 886 1095 1168 1314 1329 1460 1752 1772 2190 2215 2628 2658 2920 3285 3504 3544 3987 4380 4430 5256 5316 5840 6570 6645 7088 7974 8760 8860 10512 10632 13140 13290 15948 17520 17720 19935 21264 26280 26580 31896 32339 35440 39870 52560 53160 63792 64678 79740 97017 106320 129356 159480 161695 194034 258712 291051 318960 323390 388068 485085 517424 582102 646780 776136 970170 1164204 1293560 1455255 1552272 1940340 2328408 2587120 2910510 3880680 4656816 5821020 7761360 11642040 23284080