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23643444 = 223113747103
BaseRepresentation
bin101101000110…
…0010100110100
31122111012201010
41122030110310
522023042234
62202432220
7404652216
oct132142464
948435633
1023643444
1112389740
127b02670
134b8a906
1431d65b6
1521206e9
hex168c534

23643444 has 96 divisors (see below), whose sum is σ = 63737856. Its totient is φ = 6756480.

The previous prime is 23643443. The next prime is 23643449. The reversal of 23643444 is 44434632.

It is a super-2 number, since 2×236434442 = 1118024888362272, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23643443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 229497 + ... + 229599.

It is an arithmetic number, because the mean of its divisors is an integer number (663936).

Almost surely, 223643444 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 23643444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31868928).

23643444 is an abundant number, since it is smaller than the sum of its proper divisors (40094412).

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

23643444 is a wasteful number, since it uses less digits than its factorization.

23643444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 203 counting only the distinct ones).

The product of its digits is 27648, while the sum is 30.

The square root of 23643444 is about 4862.4524676340. The cubic root of 23643444 is about 287.0143291093.

The spelling of 23643444 in words is "twenty-three million, six hundred forty-three thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 11 12 22 33 37 44 47 66 74 94 103 111 132 141 148 188 206 222 282 309 407 412 444 517 564 618 814 1034 1133 1221 1236 1551 1628 1739 2068 2266 2442 3102 3399 3478 3811 4532 4841 4884 5217 6204 6798 6956 7622 9682 10434 11433 13596 14523 15244 19129 19364 20868 22866 29046 38258 41921 45732 53251 57387 58092 76516 83842 106502 114774 125763 159753 167684 179117 213004 229548 251526 319506 358234 503052 537351 639012 716468 1074702 1970287 2149404 3940574 5910861 7881148 11821722 23643444