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23405004 = 2233783373
BaseRepresentation
bin101100101001…
…0000111001100
31122001002122000
41121102013030
521442430004
62153352300
7402640110
oct131220714
948032560
1023405004
1112236587
127a08690
134b0621c
143173740
1520c4c39
hex16521cc

23405004 has 96 divisors (see below), whose sum is σ = 70371840. Its totient is φ = 6588864.

The previous prime is 23404993. The next prime is 23405021. The reversal of 23405004 is 40050432.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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, 62562 + ... + 62934.

It is an arithmetic number, because the mean of its divisors is an integer number (733040).

Almost surely, 223405004 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 23405004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35185920).

23405004 is an abundant number, since it is smaller than the sum of its proper divisors (46966836).

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

23405004 is a wasteful number, since it uses less digits than its factorization.

23405004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 23405004 is about 4837.8718461737. The cubic root of 23405004 is about 286.0462376545.

Adding to 23405004 its reverse (40050432), we get a palindrome (63455436).

The spelling of 23405004 in words is "twenty-three million, four hundred five thousand, four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 83 84 108 126 166 189 249 252 332 373 378 498 581 746 747 756 996 1119 1162 1492 1494 1743 2238 2241 2324 2611 2988 3357 3486 4476 4482 5222 5229 6714 6972 7833 8964 10071 10444 10458 13428 15666 15687 20142 20916 23499 30959 31332 31374 40284 46998 61918 62748 70497 92877 93996 123836 140994 185754 216713 278631 281988 371508 433426 557262 650139 835893 866852 1114524 1300278 1671786 1950417 2600556 3343572 3900834 5851251 7801668 11702502 23405004