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23240672 = 2571323347
BaseRepresentation
bin101100010100…
…1111111100000
31121201202012122
41120221333200
521422200142
62150043412
7401354030
oct130517740
947652178
1023240672
1112134074
127949568
134a794a0
14312d8c0
1520911d2
hex1629fe0

23240672 has 96 divisors (see below), whose sum is σ = 58931712. Its totient is φ = 8769024.

The previous prime is 23240671. The next prime is 23240677. The reversal of 23240672 is 27604232.

It is a super-3 number, since 3×232406723 (a number of 23 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23240671) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 66803 + ... + 67149.

It is an arithmetic number, because the mean of its divisors is an integer number (613872).

Almost surely, 223240672 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 23240672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29465856).

23240672 is an abundant number, since it is smaller than the sum of its proper divisors (35691040).

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

23240672 is a wasteful number, since it uses less digits than its factorization.

23240672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 26.

The square root of 23240672 is about 4820.8580149181. The cubic root of 23240672 is about 285.3751988725.

It can be divided in two parts, 232 and 40672, that added together give a palindrome (40904).

The spelling of 23240672 in words is "twenty-three million, two hundred forty thousand, six hundred seventy-two".

Divisors: 1 2 4 7 8 13 14 16 23 26 28 32 46 52 56 91 92 104 112 161 182 184 208 224 299 322 347 364 368 416 598 644 694 728 736 1196 1288 1388 1456 2093 2392 2429 2576 2776 2912 4186 4511 4784 4858 5152 5552 7981 8372 9022 9568 9716 11104 15962 16744 18044 19432 31577 31924 33488 36088 38864 55867 63154 63848 66976 72176 77728 103753 111734 126308 127696 144352 207506 223468 252616 255392 415012 446936 505232 726271 830024 893872 1010464 1452542 1660048 1787744 2905084 3320096 5810168 11620336 23240672