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23452440 = 233511109163
BaseRepresentation
bin101100101110…
…1101100011000
31122010111200220
41121131230120
522000434230
62154400040
7403225314
oct131355430
948114626
1023452440
1112269190
127a30020
134b219ab
143186b44
1520d3d10
hex165db18

23452440 has 128 divisors (see below), whose sum is σ = 77932800. Its totient is φ = 5598720.

The previous prime is 23452427. The next prime is 23452477. The reversal of 23452440 is 4425432.

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 23452440.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 143799 + ... + 143961.

It is an arithmetic number, because the mean of its divisors is an integer number (608850).

Almost surely, 223452440 is an apocalyptic number.

23452440 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 23452440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38966400).

23452440 is an abundant number, since it is smaller than the sum of its proper divisors (54480360).

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

23452440 is a wasteful number, since it uses less digits than its factorization.

23452440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 23452440 is about 4842.7719335108. The cubic root of 23452440 is about 286.2393549432.

Adding to 23452440 its reverse (4425432), we get a palindrome (27877872).

The spelling of 23452440 in words is "twenty-three million, four hundred fifty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 109 110 120 132 163 165 218 220 264 326 327 330 436 440 489 545 652 654 660 815 872 978 1090 1199 1304 1308 1320 1630 1635 1793 1956 2180 2398 2445 2616 3260 3270 3586 3597 3912 4360 4796 4890 5379 5995 6520 6540 7172 7194 8965 9592 9780 10758 11990 13080 14344 14388 17767 17930 17985 19560 21516 23980 26895 28776 35534 35860 35970 43032 47960 53301 53790 71068 71720 71940 88835 106602 107580 142136 143880 177670 195437 213204 215160 266505 355340 390874 426408 533010 586311 710680 781748 977185 1066020 1172622 1563496 1954370 2132040 2345244 2931555 3908740 4690488 5863110 7817480 11726220 23452440