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23984268 = 223711101257
BaseRepresentation
bin101101101111…
…1100010001100
31200010112020020
41123133202030
522114444033
62214022140
7410601660
oct133374214
950115206
1023984268
11125a1810
128047950
134c79a99
1432848a0
15218b6b3
hex16df88c

23984268 has 96 divisors (see below), whose sum is σ = 70737408. Its totient is φ = 6144000.

The previous prime is 23984243. The next prime is 23984281. The reversal of 23984268 is 86248932.

It is a super-2 number, since 2×239842682 = 1150490222991648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 93196 + ... + 93452.

It is an arithmetic number, because the mean of its divisors is an integer number (736848).

Almost surely, 223984268 is an apocalyptic number.

23984268 is a gapful number since it is divisible by the number (28) 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 23984268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35368704).

23984268 is an abundant number, since it is smaller than the sum of its proper divisors (46753140).

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

23984268 is a wasteful number, since it uses less digits than its factorization.

23984268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383 (or 381 counting only the distinct ones).

The product of its digits is 165888, while the sum is 42.

The square root of 23984268 is about 4897.3735818293. The cubic root of 23984268 is about 288.3868739790.

It can be divided in two parts, 2398 and 4268, that added together give a palindrome (6666).

The spelling of 23984268 in words is "twenty-three million, nine hundred eighty-four thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 101 132 154 202 231 257 303 308 404 462 514 606 707 771 924 1028 1111 1212 1414 1542 1799 2121 2222 2827 2828 3084 3333 3598 4242 4444 5397 5654 6666 7196 7777 8481 8484 10794 11308 13332 15554 16962 19789 21588 23331 25957 31108 33924 39578 46662 51914 59367 77871 79156 93324 103828 118734 155742 181699 237468 285527 311484 363398 545097 571054 726796 856581 1090194 1142108 1713162 1998689 2180388 3426324 3997378 5996067 7994756 11992134 23984268