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23340365460 = 2234546131253
BaseRepresentation
bin10101101111001100…
…011011011010010100
32020020122000102020000
4111233030123122110
5340300113143320
614420013011300
71454252555466
oct255714333224
966218012200
1023340365460
119998034035
124634783b30
13227c750c49
1411b5bac136
15919143c90
hex56f31b694

23340365460 has 120 divisors (see below), whose sum is σ = 73380766536. Its totient is φ = 6210397440.

The previous prime is 23340365417. The next prime is 23340365497. The reversal of 23340365460 is 6456304332.

23340365460 is a `hidden beast` number, since 233 + 4 + 0 + 365 + 4 + 60 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1888076304 + 21452289156 = 43452^2 + 146466^2 .

It is a super-2 number, since 2×233403654602 (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 731194 + ... + 762446.

Almost surely, 223340365460 is an apocalyptic number.

23340365460 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 23340365460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36690383268).

23340365460 is an abundant number, since it is smaller than the sum of its proper divisors (50040401076).

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

23340365460 is a wasteful number, since it uses less digits than its factorization.

23340365460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31735 (or 31724 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 36.

Adding to 23340365460 its reverse (6456304332), we get a palindrome (29796669792).

The spelling of 23340365460 in words is "twenty-three billion, three hundred forty million, three hundred sixty-five thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 461 540 810 922 1383 1620 1844 2305 2766 4149 4610 5532 6915 8298 9220 12447 13830 16596 20745 24894 27660 31253 37341 41490 49788 62235 62506 74682 82980 93759 124470 125012 149364 156265 186705 187518 248940 281277 312530 373410 375036 468795 562554 625060 746820 843831 937590 1125108 1406385 1687662 1875180 2531493 2812770 3375324 4219155 5062986 5625540 8438310 10125972 12657465 14407633 16876620 25314930 28815266 43222899 50629860 57630532 72038165 86445798 129668697 144076330 172891596 216114495 259337394 288152660 389006091 432228990 518674788 648343485 778012182 864457980 1167018273 1296686970 1556024364 1945030455 2334036546 2593373940 3890060910 4668073092 5835091365 7780121820 11670182730 23340365460