Search a number
-
+
23309748 = 22337112803
BaseRepresentation
bin101100011101…
…0110110110100
31121212020222000
41120322312310
521431402443
62151335300
7402062310
oct130726664
947766860
1023309748
1112180a60
127981530
134aa1a67
14314ab40
1520a68d3
hex163adb4

23309748 has 96 divisors (see below), whose sum is σ = 75371520. Its totient is φ = 6052320.

The previous prime is 23309743. The next prime is 23309777. The reversal of 23309748 is 84790332.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23309743) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6915 + ... + 9717.

It is an arithmetic number, because the mean of its divisors is an integer number (785120).

Almost surely, 223309748 is an apocalyptic number.

23309748 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 23309748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37685760).

23309748 is an abundant number, since it is smaller than the sum of its proper divisors (52061772).

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

23309748 is a wasteful number, since it uses less digits than its factorization.

23309748 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2834 (or 2826 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 23309748 is about 4828.0169842286. The cubic root of 23309748 is about 285.6576502504.

The spelling of 23309748 in words is "twenty-three million, three hundred nine thousand, seven hundred forty-eight".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 27 28 33 36 42 44 54 63 66 77 84 99 108 126 132 154 189 198 231 252 297 308 378 396 462 594 693 756 924 1188 1386 2079 2772 2803 4158 5606 8316 8409 11212 16818 19621 25227 30833 33636 39242 50454 58863 61666 75681 78484 92499 100908 117726 123332 151362 176589 184998 215831 235452 277497 302724 353178 369996 431662 529767 554994 647493 706356 832491 863324 1059534 1109988 1294986 1664982 1942479 2119068 2589972 3329964 3884958 5827437 7769916 11654874 23309748