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23340105840 = 2435313538887
BaseRepresentation
bin10101101111001011…
…011100000001110000
32020020121112020002110
4111233023130001300
5340300031341330
614420003245320
71454250424542
oct255713340160
966217466073
1023340105840
119997976a77
124634679840
13227c68ca1c
1411b5b41692
159190e1db0
hex56f2dc070

23340105840 has 160 divisors (see below), whose sum is σ = 74908348416. Its totient is φ = 6005514240.

The previous prime is 23340105839. The next prime is 23340105883. The reversal of 23340105840 is 4850104332.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 23340105798 and 23340105807.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2621877 + ... + 2630763.

Almost surely, 223340105840 is an apocalyptic number.

23340105840 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 23340105840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37454174208).

23340105840 is an abundant number, since it is smaller than the sum of its proper divisors (51568242576).

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

23340105840 is a wasteful number, since it uses less digits than its factorization.

23340105840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9287 (or 9281 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The spelling of 23340105840 in words is "twenty-three billion, three hundred forty million, one hundred five thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 48 60 62 80 93 120 124 155 186 240 248 310 353 372 465 496 620 706 744 930 1059 1240 1412 1488 1765 1860 2118 2480 2824 3530 3720 4236 5295 5648 7060 7440 8472 8887 10590 10943 14120 16944 17774 21180 21886 26661 28240 32829 35548 42360 43772 44435 53322 54715 65658 71096 84720 87544 88870 106644 109430 131316 133305 142192 164145 175088 177740 213288 218860 262632 266610 275497 328290 355480 426576 437720 525264 533220 550994 656580 710960 826491 875440 1066440 1101988 1313160 1377485 1652982 2132880 2203976 2626320 2754970 3137111 3305964 4132455 4407952 5509940 6274222 6611928 8264910 9411333 11019880 12548444 13223856 15685555 16529820 18822666 22039760 25096888 31371110 33059640 37645332 47056665 50193776 62742220 66119280 75290664 94113330 97250441 125484440 150581328 188226660 194500882 250968880 291751323 376453320 389001764 486252205 583502646 752906640 778003528 972504410 1167005292 1458756615 1556007056 1945008820 2334010584 2917513230 3890017640 4668021168 5835026460 7780035280 11670052920 23340105840