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23268384 = 253447191
BaseRepresentation
bin101100011000…
…0110000100000
31121210011020000
41120300300200
521424042014
62150420000
7401530566
oct130606040
947704200
1023268384
1112152977
127961600
134a88c99
143139a36
152099509
hex1630c20

23268384 has 120 divisors (see below), whose sum is σ = 70253568. Its totient is φ = 7551360.

The previous prime is 23268379. The next prime is 23268391. The reversal of 23268384 is 48386232.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 19 ways as a sum of consecutive naturals, for example, 121729 + ... + 121919.

Almost surely, 223268384 is an apocalyptic number.

23268384 is a gapful number since it is divisible by the number (24) 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 23268384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35126784).

23268384 is an abundant number, since it is smaller than the sum of its proper divisors (46985184).

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

23268384 is a wasteful number, since it uses less digits than its factorization.

23268384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 243 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 23268384 is about 4823.7313358022. The cubic root of 23268384 is about 285.4885802227.

The spelling of 23268384 in words is "twenty-three million, two hundred sixty-eight thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 47 48 54 72 81 94 96 108 141 144 162 188 191 216 282 288 324 376 382 423 432 564 573 648 752 764 846 864 1128 1146 1269 1296 1504 1528 1692 1719 2256 2292 2538 2592 3056 3384 3438 3807 4512 4584 5076 5157 6112 6768 6876 7614 8977 9168 10152 10314 13536 13752 15228 15471 17954 18336 20304 20628 26931 27504 30456 30942 35908 40608 41256 53862 55008 60912 61884 71816 80793 82512 107724 121824 123768 143632 161586 165024 215448 242379 247536 287264 323172 430896 484758 495072 646344 727137 861792 969516 1292688 1454274 1939032 2585376 2908548 3878064 5817096 7756128 11634192 23268384