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23640816 = 243677351
BaseRepresentation
bin101101000101…
…1101011110000
31122111002002210
41122023223300
522023001231
62202412120
7404641443
oct132135360
948432083
1023640816
1112387771
127b01040
134b89664
1431d565a
15211ea46
hex168baf0

23640816 has 40 divisors (see below), whose sum is σ = 61992064. Its totient is φ = 7761600.

The previous prime is 23640791. The next prime is 23640821. The reversal of 23640816 is 61804632.

It is a super-2 number, since 2×236408162 = 1117776362291712, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 460 + ... + 6891.

Almost surely, 223640816 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 23640816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30996032).

23640816 is an abundant number, since it is smaller than the sum of its proper divisors (38351248).

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

23640816 is a wasteful number, since it uses less digits than its factorization.

23640816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7429 (or 7423 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 23640816 is about 4862.1822261203. The cubic root of 23640816 is about 287.0036947081.

The spelling of 23640816 in words is "twenty-three million, six hundred forty thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 48 67 134 201 268 402 536 804 1072 1608 3216 7351 14702 22053 29404 44106 58808 88212 117616 176424 352848 492517 985034 1477551 1970068 2955102 3940136 5910204 7880272 11820408 23640816