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23274384 = 2437113613
BaseRepresentation
bin101100011001…
…0001110010000
31121210110110020
41120302032100
521424240014
62150503440
7401554230
oct130621620
947713406
1023274384
1112157431
127964b80
134a8b933
14313bcc0
15209b1a9
hex1632390

23274384 has 80 divisors (see below), whose sum is σ = 69436032. Its totient is φ = 6580224.

The previous prime is 23274341. The next prime is 23274409. The reversal of 23274384 is 48347232.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37662 + ... + 38274.

Almost surely, 223274384 is an apocalyptic number.

23274384 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 23274384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34718016).

23274384 is an abundant number, since it is smaller than the sum of its proper divisors (46161648).

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

23274384 is a wasteful number, since it uses less digits than its factorization.

23274384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 744 (or 738 counting only the distinct ones).

The product of its digits is 32256, while the sum is 33.

The square root of 23274384 is about 4824.3532208991. The cubic root of 23274384 is about 285.5131168683.

The spelling of 23274384 in words is "twenty-three million, two hundred seventy-four thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 113 168 226 336 339 452 613 678 791 904 1226 1356 1582 1808 1839 2373 2452 2712 3164 3678 4291 4746 4904 5424 6328 7356 8582 9492 9808 12656 12873 14712 17164 18984 25746 29424 34328 37968 51492 68656 69269 102984 138538 205968 207807 277076 415614 484883 554152 831228 969766 1108304 1454649 1662456 1939532 2909298 3324912 3879064 5818596 7758128 11637192 23274384