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242433340 = 225233531493
BaseRepresentation
bin11100111001100…
…11110100111100
3121220011220000121
432130303310330
5444030331330
640020104324
76002435512
oct1634636474
9556156017
10242433340
11114935836
12692350a4
133b2c35a6
14242aa4b2
151643c17a
hexe733d3c

242433340 has 48 divisors (see below), whose sum is σ = 533107008. Its totient is φ = 92432384.

The previous prime is 242433329. The next prime is 242433343. The reversal of 242433340 is 43334242.

242433340 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242433343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 161634 + ... + 163126.

It is an arithmetic number, because the mean of its divisors is an integer number (11106396).

Almost surely, 2242433340 is an apocalyptic number.

242433340 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 242433340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266553504).

242433340 is an abundant number, since it is smaller than the sum of its proper divisors (290673668).

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

242433340 is a wasteful number, since it uses less digits than its factorization.

242433340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1878 (or 1876 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 25.

The square root of 242433340 is about 15570.2710316809. The cubic root of 242433340 is about 623.5397075307.

Adding to 242433340 its reverse (43334242), we get a palindrome (285767582).

The spelling of 242433340 in words is "two hundred forty-two million, four hundred thirty-three thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 353 460 706 1412 1493 1765 2986 3530 5972 7060 7465 8119 14930 16238 29860 32476 34339 40595 68678 81190 137356 162380 171695 343390 527029 686780 1054058 2108116 2635145 5270290 10540580 12121667 24243334 48486668 60608335 121216670 242433340