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320240024340 = 2235291801102191
BaseRepresentation
bin1001010100011111100…
…10101111101100010100
31010121121002002210111020
410222033302233230110
520221322421234330
6403041035041140
732064563202555
oct4521762575424
91117532083436
10320240024340
111138a4166145
12520938a01b0
1324277165482
14116dd26832c
1584e453d210
hex4a8fcafb14

320240024340 has 96 divisors (see below), whose sum is σ = 928115919360. Its totient is φ = 82406016000.

The previous prime is 320240024339. The next prime is 320240024359. The reversal of 320240024340 is 43420042023.

It is a self number, because there is not a number n which added to its sum of digits gives 320240024340.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3082645 + ... + 3184835.

It is an arithmetic number, because the mean of its divisors is an integer number (9667874160).

Almost surely, 2320240024340 is an apocalyptic number.

320240024340 is a gapful number since it is divisible by the number (30) 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 320240024340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464057959680).

320240024340 is an abundant number, since it is smaller than the sum of its proper divisors (607875895020).

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

320240024340 is a wasteful number, since it uses less digits than its factorization.

320240024340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104033 (or 104031 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 320240024340 its reverse (43420042023), we get a palindrome (363660066363).

The spelling of 320240024340 in words is "three hundred twenty billion, two hundred forty million, twenty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 87 116 145 174 290 348 435 580 870 1740 1801 3602 5403 7204 9005 10806 18010 21612 27015 36020 52229 54030 102191 104458 108060 156687 204382 208916 261145 306573 313374 408764 510955 522290 613146 626748 783435 1021910 1044580 1226292 1532865 1566870 2043820 2963539 3065730 3133740 5927078 6131460 8890617 11854156 14817695 17781234 29635390 35562468 44453085 59270780 88906170 177812340 184045991 368091982 552137973 736183964 920229955 1104275946 1840459910 2208551892 2760689865 3680919820 5337333739 5521379730 10674667478 11042759460 16012001217 21349334956 26686668695 32024002434 53373337390 64048004868 80060006085 106746674780 160120012170 320240024340