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23426664 = 2332997347
BaseRepresentation
bin101100101011…
…1011001101000
31122002012100020
41121113121220
521444123124
62154040440
7403060212
oct131273150
948065306
1023426664
1112250888
127a19120
134b13041
14317b5b2
1520cb379
hex1657668

23426664 has 64 divisors (see below), whose sum is σ = 61387200. Its totient is φ = 7440384.

The previous prime is 23426653. The next prime is 23426699. The reversal of 23426664 is 46662432.

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

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 15 ways as a sum of consecutive naturals, for example, 67339 + ... + 67685.

It is an arithmetic number, because the mean of its divisors is an integer number (959175).

Almost surely, 223426664 is an apocalyptic number.

23426664 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 23426664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30693600).

23426664 is an abundant number, since it is smaller than the sum of its proper divisors (37960536).

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

23426664 is a wasteful number, since it uses less digits than its factorization.

23426664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 478 counting only the distinct ones).

The product of its digits is 41472, while the sum is 33.

The square root of 23426664 is about 4840.1099161073. The cubic root of 23426664 is about 286.1344502894.

It can be divided in two parts, 23426 and 664, that added together give a triangular number (24090 = T219).

The spelling of 23426664 in words is "twenty-three million, four hundred twenty-six thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 24 29 58 87 97 116 174 194 232 291 347 348 388 582 694 696 776 1041 1164 1388 2082 2328 2776 2813 4164 5626 8328 8439 10063 11252 16878 20126 22504 30189 33659 33756 40252 60378 67318 67512 80504 100977 120756 134636 201954 241512 269272 403908 807816 976111 1952222 2928333 3904444 5856666 7808888 11713332 23426664