Search a number
-
+
23842336 = 257163653
BaseRepresentation
bin101101011110…
…0111000100000
31122212022112111
41122330320200
522100423321
62211005104
7406441120
oct132747040
948768474
1023842336
1112505111
127b99794
134c2a2bb
143248c80
15215e5e1
hex16bce20

23842336 has 48 divisors (see below), whose sum is σ = 54057024. Its totient is φ = 10139904.

The previous prime is 23842327. The next prime is 23842369. The reversal of 23842336 is 63324832.

It is a junction number, because it is equal to n+sod(n) for n = 23842298 and 23842307.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36186 + ... + 36838.

It is an arithmetic number, because the mean of its divisors is an integer number (1126188).

Almost surely, 223842336 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 23842336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27028512).

23842336 is an abundant number, since it is smaller than the sum of its proper divisors (30214688).

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

23842336 is a wasteful number, since it uses less digits than its factorization.

23842336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 833 (or 825 counting only the distinct ones).

The product of its digits is 20736, while the sum is 31.

The square root of 23842336 is about 4882.8614561546. The cubic root of 23842336 is about 287.8168846256.

The spelling of 23842336 in words is "twenty-three million, eight hundred forty-two thousand, three hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 163 224 326 652 653 1141 1304 1306 2282 2608 2612 4564 4571 5216 5224 9128 9142 10448 18256 18284 20896 36512 36568 73136 106439 146272 212878 425756 745073 851512 1490146 1703024 2980292 3406048 5960584 11921168 23842336