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23380440 = 23351773157
BaseRepresentation
bin101100100110…
…0000111011000
31121222211221020
41121030013120
521441133230
62153042440
7402505356
oct131140730
947884836
1023380440
111221a086
1279b6420
134ac7ca5
1431687d6
1520bc810
hex164c1d8

23380440 has 128 divisors (see below), whose sum is σ = 75764160. Its totient is φ = 5750784.

The previous prime is 23380429. The next prime is 23380447. The reversal of 23380440 is 4408332.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 23380440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23380447) 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, 148842 + ... + 148998.

Almost surely, 223380440 is an apocalyptic number.

23380440 is a gapful number since it is divisible by the number (20) 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 23380440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37882080).

23380440 is an abundant number, since it is smaller than the sum of its proper divisors (52383720).

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

23380440 is a wasteful number, since it uses less digits than its factorization.

23380440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 23380440 is about 4835.3324601314. The cubic root of 23380440 is about 285.9461322904.

Adding to 23380440 its reverse (4408332), we get a palindrome (27788772).

The spelling of 23380440 in words is "twenty-three million, three hundred eighty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 73 85 102 120 136 146 157 170 204 219 255 292 314 340 365 408 438 471 510 584 628 680 730 785 876 942 1020 1095 1241 1256 1460 1570 1752 1884 2040 2190 2355 2482 2669 2920 3140 3723 3768 4380 4710 4964 5338 6205 6280 7446 8007 8760 9420 9928 10676 11461 12410 13345 14892 16014 18615 18840 21352 22922 24820 26690 29784 32028 34383 37230 40035 45844 49640 53380 57305 64056 68766 74460 80070 91688 106760 114610 137532 148920 160140 171915 194837 229220 275064 320280 343830 389674 458440 584511 687660 779348 974185 1169022 1375320 1558696 1948370 2338044 2922555 3896740 4676088 5845110 7793480 11690220 23380440