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245435450340 = 22354618873299
BaseRepresentation
bin1110010010010100010…
…1111100001111100100
3212110111211002201010110
43210211011330033210
513010122433402330
6304430153253020
723506055622543
oct3444505741744
9773454081113
10245435450340
11950a7a05563
123b697a04170
131a1b5504632
14bc4450215a
1565b7229db0
hex392517c3e4

245435450340 has 48 divisors (see below), whose sum is σ = 688710052800. Its totient is φ = 65307473280.

The previous prime is 245435450297. The next prime is 245435450341. The reversal of 245435450340 is 43054534542.

245435450340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2454354503403 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (245435450341) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 4408990 + ... + 4464309.

It is an arithmetic number, because the mean of its divisors is an integer number (14348126100).

Almost surely, 2245435450340 is an apocalyptic number.

245435450340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

245435450340 is an abundant number, since it is smaller than the sum of its proper divisors (443274602460).

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

245435450340 is a wasteful number, since it uses less digits than its factorization.

245435450340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8873772 (or 8873770 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 39.

Adding to 245435450340 its reverse (43054534542), we get a palindrome (288489984882).

The spelling of 245435450340 in words is "two hundred forty-five billion, four hundred thirty-five million, four hundred fifty thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 461 922 1383 1844 2305 2766 4610 5532 6915 9220 13830 27660 8873299 17746598 26619897 35493196 44366495 53239794 88732990 106479588 133099485 177465980 266198970 532397940 4090590839 8181181678 12271772517 16362363356 20452954195 24543545034 40905908390 49087090068 61358862585 81811816780 122717725170 245435450340