Search a number
-
+
240081604 = 227293761131
BaseRepresentation
bin11100100111101…
…01101011000100
3121201202102001021
432103311223010
5442430102404
635453440524
75643442240
oct1623655304
9551672037
10240081604
11113579954
12684a0144
133a97c029
1423c57420
1516125454
hexe4f5ac4

240081604 has 96 divisors (see below), whose sum is σ = 522466560. Its totient is φ = 94348800.

The previous prime is 240081533. The next prime is 240081607. The reversal of 240081604 is 406180042.

240081604 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (240081607) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1832619 + ... + 1832749.

It is an arithmetic number, because the mean of its divisors is an integer number (5442360).

Almost surely, 2240081604 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 240081604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261233280).

240081604 is an abundant number, since it is smaller than the sum of its proper divisors (282384956).

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

240081604 is a wasteful number, since it uses less digits than its factorization.

240081604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 240081604 is about 15494.5669187622. The cubic root of 240081604 is about 621.5169272653.

The spelling of 240081604 in words is "two hundred forty million, eighty-one thousand, six hundred four".

Divisors: 1 2 4 7 14 28 29 37 58 61 74 116 122 131 148 203 244 259 262 406 427 518 524 812 854 917 1036 1073 1708 1769 1834 2146 2257 3538 3668 3799 4292 4514 4847 7076 7511 7598 7991 9028 9694 12383 15022 15196 15799 15982 19388 24766 26593 30044 31598 31964 33929 49532 53186 55937 63196 65453 67858 106372 111874 130906 135716 140563 223748 231739 261812 281126 295667 458171 463478 562252 591334 916342 926956 983941 1182668 1622173 1832684 1967882 2069669 3244346 3935764 4139338 6488692 8278676 8574343 17148686 34297372 60020401 120040802 240081604