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240300340 = 225743179223
BaseRepresentation
bin11100101001010…
…11000100110100
3121202011112002121
432110223010310
5443004102330
635502245324
75645343040
oct1624530464
9552145077
10240300340
11113709225
1268586844
133aa27767
1423cb3020
151616a17a
hexe52b134

240300340 has 96 divisors (see below), whose sum is σ = 596090880. Its totient is φ = 79664256.

The previous prime is 240300323. The next prime is 240300371. The reversal of 240300340 is 43003042.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 1077469 + ... + 1077691.

It is an arithmetic number, because the mean of its divisors is an integer number (6209280).

Almost surely, 2240300340 is an apocalyptic number.

240300340 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 240300340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298045440).

240300340 is an abundant number, since it is smaller than the sum of its proper divisors (355790540).

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

240300340 is a wasteful number, since it uses less digits than its factorization.

240300340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

The square root of 240300340 is about 15501.6237859135. The cubic root of 240300340 is about 621.7056226342.

Adding to 240300340 its reverse (43003042), we get a palindrome (283303382).

The spelling of 240300340 in words is "two hundred forty million, three hundred thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 43 70 86 140 172 179 215 223 301 358 430 446 602 716 860 892 895 1115 1204 1253 1505 1561 1790 2230 2506 3010 3122 3580 4460 5012 6020 6244 6265 7697 7805 9589 12530 15394 15610 19178 25060 30788 31220 38356 38485 39917 47945 53879 67123 76970 79834 95890 107758 134246 153940 159668 191780 199585 215516 268492 269395 279419 335615 399170 538790 558838 671230 798340 1077580 1117676 1342460 1397095 1716431 2794190 3432862 5588380 6865724 8582155 12015017 17164310 24030034 34328620 48060068 60075085 120150170 240300340