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245846340 = 22345295233
BaseRepresentation
bin11101010011101…
…01000101000100
3122010121021210000
432221311011010
51000414040330
640221201300
76043442115
oct1651650504
9563537700
10245846340
11116856aa3
126a400230
133bc19c0c
142491820c
15168b3560
hexea75144

245846340 has 120 divisors (see below), whose sum is σ = 797975640. Its totient is φ = 63286272.

The previous prime is 245846329. The next prime is 245846353. The reversal of 245846340 is 43648542.

It can be written as a sum of positive squares in 4 ways, for example, as 85266756 + 160579584 = 9234^2 + 12672^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 245846295 and 245846304.

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 39 ways as a sum of consecutive naturals, for example, 44364 + ... + 49596.

It is an arithmetic number, because the mean of its divisors is an integer number (6649797).

Almost surely, 2245846340 is an apocalyptic number.

245846340 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 245846340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398987820).

245846340 is an abundant number, since it is smaller than the sum of its proper divisors (552129300).

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

245846340 is a wasteful number, since it uses less digits than its factorization.

245846340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5283 (or 5272 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 245846340 is about 15679.4878742898. The cubic root of 245846340 is about 626.4521667921.

The spelling of 245846340 in words is "two hundred forty-five million, eight hundred forty-six thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 29 30 36 45 54 58 60 81 87 90 108 116 135 145 162 174 180 261 270 290 324 348 405 435 522 540 580 783 810 870 1044 1305 1566 1620 1740 2349 2610 3132 3915 4698 5220 5233 7830 9396 10466 11745 15660 15699 20932 23490 26165 31398 46980 47097 52330 62796 78495 94194 104660 141291 151757 156990 188388 235485 282582 303514 313980 423873 455271 470970 565164 607028 706455 758785 847746 910542 941940 1365813 1412910 1517570 1695492 1821084 2119365 2276355 2731626 2825820 3035140 4097439 4238730 4552710 5463252 6829065 8194878 8477460 9105420 12292317 13658130 16389756 20487195 24584634 27316260 40974390 49169268 61461585 81948780 122923170 245846340