Search a number
-
+
23443728 = 2437116343
BaseRepresentation
bin101100101101…
…1100100010000
31122010001202020
41121123210100
522000144403
62154251440
7403161030
oct131334420
948101666
1023443728
1112262690
127a26b80
134b1aa39
1431838c0
1520d1453
hex165b910

23443728 has 80 divisors (see below), whose sum is σ = 75518976. Its totient is φ = 6088320.

The previous prime is 23443723. The next prime is 23443733. The reversal of 23443728 is 82734432.

It is an interprime number because it is at equal distance from previous prime (23443723) and next prime (23443733).

It is a Harshad number since it is a multiple of its sum of digits (33).

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

It is not an unprimeable number, because it can be changed into a prime (23443723) 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 15 ways as a sum of consecutive naturals, for example, 525 + ... + 6867.

Almost surely, 223443728 is an apocalyptic number.

23443728 is a gapful number since it is divisible by the number (28) 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 23443728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37759488).

23443728 is an abundant number, since it is smaller than the sum of its proper divisors (52075248).

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

23443728 is a wasteful number, since it uses less digits than its factorization.

23443728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6372 (or 6366 counting only the distinct ones).

The product of its digits is 32256, while the sum is 33.

The square root of 23443728 is about 4841.8723651084. The cubic root of 23443728 is about 286.2039069456.

The spelling of 23443728 in words is "twenty-three million, four hundred forty-three thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 112 132 154 168 176 231 264 308 336 462 528 616 924 1232 1848 3696 6343 12686 19029 25372 38058 44401 50744 69773 76116 88802 101488 133203 139546 152232 177604 209319 266406 279092 304464 355208 418638 488411 532812 558184 710416 837276 976822 1065624 1116368 1465233 1674552 1953644 2131248 2930466 3349104 3907288 5860932 7814576 11721864 23443728