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240242838 = 2311367449
BaseRepresentation
bin11100101000111…
…01000010010110
3121202001121012220
432110131002112
5443000232323
635501123210
75645013303
oct1624350226
9552047186
10240242838
1111367a000
1268559506
133aa07534
1423c9a0aa
15161580e3
hexe51d096

240242838 has 64 divisors (see below), whose sum is σ = 537580800. Its totient is φ = 71554560.

The previous prime is 240242833. The next prime is 240242857. The reversal of 240242838 is 838242042.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 240242799 and 240242808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240242831) by changing a digit.

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, 534838 + ... + 535286.

It is an arithmetic number, because the mean of its divisors is an integer number (8399700).

Almost surely, 2240242838 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 240242838, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268790400).

240242838 is an abundant number, since it is smaller than the sum of its proper divisors (297337962).

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

240242838 is a wasteful number, since it uses less digits than its factorization.

240242838 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 33.

The square root of 240242838 is about 15499.7689660201. The cubic root of 240242838 is about 621.6560289069.

It can be divided in two parts, 24024 and 2838, that added together give a palindrome (26862).

The spelling of 240242838 in words is "two hundred forty million, two hundred forty-two thousand, eight hundred thirty-eight".

Divisors: 1 2 3 6 11 22 33 66 67 121 134 201 242 363 402 449 726 737 898 1331 1347 1474 2211 2662 2694 3993 4422 4939 7986 8107 9878 14817 16214 24321 29634 30083 48642 54329 60166 89177 90249 108658 162987 178354 180498 267531 325974 330913 535062 597619 661826 992739 1195238 1792857 1985478 3585714 3640043 7280086 10920129 21840258 40040473 80080946 120121419 240242838