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248939340 = 223513439727
BaseRepresentation
bin11101101011010…
…00001101001100
3122100102102120120
432311220031030
51002212024330
640411344540
76111643446
oct1665501514
9570372516
10248939340
111185798a1
126b452150
133c7609b0
14250c1496
1516cc4c10
hexed6834c

248939340 has 96 divisors (see below), whose sum is σ = 753392640. Its totient is φ = 61053696.

The previous prime is 248939333. The next prime is 248939351. The reversal of 248939340 is 43939842.

It is a happy number.

248939340 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 248939292 and 248939301.

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, 342057 + ... + 342783.

It is an arithmetic number, because the mean of its divisors is an integer number (7847840).

Almost surely, 2248939340 is an apocalyptic number.

248939340 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 248939340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376696320).

248939340 is an abundant number, since it is smaller than the sum of its proper divisors (504453300).

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

248939340 is a wasteful number, since it uses less digits than its factorization.

248939340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1191 (or 1189 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The square root of 248939340 is about 15777.8116353314. The cubic root of 248939340 is about 629.0683634749.

The spelling of 248939340 in words is "two hundred forty-eight million, nine hundred thirty-nine thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 439 727 780 878 1317 1454 1756 2181 2195 2634 2908 3635 4362 4390 5268 5707 6585 7270 8724 8780 9451 10905 11414 13170 14540 17121 18902 21810 22828 26340 28353 28535 34242 37804 43620 47255 56706 57070 68484 85605 94510 113412 114140 141765 171210 189020 283530 319153 342420 567060 638306 957459 1276612 1595765 1914918 3191530 3829836 4148989 4787295 6383060 8297978 9574590 12446967 16595956 19149180 20744945 24893934 41489890 49787868 62234835 82979780 124469670 248939340