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242780340 = 223511367849
BaseRepresentation
bin11100111100010…
…00100010110100
3121220211112000110
432132020202310
5444122432330
640031343020
76005412255
oct1636104264
9556745013
10242780340
11115052510
1269381a70
133b3b550a
142435ab2c
15164a9db0
hexe7888b4

242780340 has 48 divisors (see below), whose sum is σ = 741585600. Its totient is φ = 58855680.

The previous prime is 242780327. The next prime is 242780353. The reversal of 242780340 is 43087242.

It is an interprime number because it is at equal distance from previous prime (242780327) and next prime (242780353).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 242780298 and 242780307.

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 15 ways as a sum of consecutive naturals, for example, 183265 + ... + 184584.

It is an arithmetic number, because the mean of its divisors is an integer number (15449700).

Almost surely, 2242780340 is an apocalyptic number.

242780340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242780340 is an abundant number, since it is smaller than the sum of its proper divisors (498805260).

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

242780340 is a wasteful number, since it uses less digits than its factorization.

242780340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367872 (or 367870 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 242780340 is about 15581.4100773967. The cubic root of 242780340 is about 623.8370609251.

The spelling of 242780340 in words is "two hundred forty-two million, seven hundred eighty thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 367849 735698 1103547 1471396 1839245 2207094 3678490 4046339 4414188 5517735 7356980 8092678 11035470 12139017 16185356 20231695 22070940 24278034 40463390 48556068 60695085 80926780 121390170 242780340