[go: up one dir, main page]

Search a number
-
+
23284968 = 23371731263
BaseRepresentation
bin101100011010…
…0110011101000
31121210222222020
41120310303220
521430104333
62151024440
7401630130
oct130646350
947728866
1023284968
1112164383
12796b120
134a936b5
143141ac0
15209e3b3
hex1634ce8

23284968 has 128 divisors (see below), whose sum is σ = 72990720. Its totient is φ = 6036480.

The previous prime is 23284889. The next prime is 23284997. The reversal of 23284968 is 86948232.

It is a super-2 number, since 2×232849682 = 1084379469522048, which contains 22 as substring.

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

It is a congruent number.

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, 88405 + ... + 88667.

It is an arithmetic number, because the mean of its divisors is an integer number (570240).

Almost surely, 223284968 is an apocalyptic number.

23284968 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 23284968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36495360).

23284968 is an abundant number, since it is smaller than the sum of its proper divisors (49705752).

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

23284968 is a wasteful number, since it uses less digits than its factorization.

23284968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 323 counting only the distinct ones).

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

The square root of 23284968 is about 4825.4500308261. The cubic root of 23284968 is about 285.5563892327.

The spelling of 23284968 in words is "twenty-three million, two hundred eighty-four thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 24 28 31 34 42 51 56 62 68 84 93 102 119 124 136 168 186 204 217 238 248 263 357 372 408 434 476 526 527 651 714 744 789 868 952 1052 1054 1302 1428 1578 1581 1736 1841 2104 2108 2604 2856 3156 3162 3682 3689 4216 4471 5208 5523 6312 6324 7364 7378 8153 8942 11046 11067 12648 13413 14728 14756 16306 17884 22092 22134 24459 26826 29512 31297 32612 35768 44184 44268 48918 53652 57071 62594 65224 88536 93891 97836 107304 114142 125188 138601 171213 187782 195672 228284 250376 277202 342426 375564 415803 456568 554404 684852 751128 831606 970207 1108808 1369704 1663212 1940414 2910621 3326424 3880828 5821242 7761656 11642484 23284968