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2340240224 = 257181197293
BaseRepresentation
bin1000101101111101…
…0011101101100000
320001002120112001212
42023133103231200
514243100141344
61024115245252
7111664466540
oct21337235540
96032515055
102340240224
11aa1006133
125538a9828
132b3ac413a
14182b45320
15da6be79e
hex8b7d3b60

2340240224 has 96 divisors (see below), whose sum is σ = 5339670336. Its totient is φ = 988968960.

The previous prime is 2340240211. The next prime is 2340240233. The reversal of 2340240224 is 4220420432.

It is a self number, because there is not a number n which added to its sum of digits gives 2340240224.

It is a congruent number.

It is an unprimeable number.

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, 7987022 + ... + 7987314.

It is an arithmetic number, because the mean of its divisors is an integer number (55621566).

Almost surely, 22340240224 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 2340240224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2669835168).

2340240224 is an abundant number, since it is smaller than the sum of its proper divisors (2999430112).

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

2340240224 is a wasteful number, since it uses less digits than its factorization.

2340240224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 688 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 23.

The square root of 2340240224 is about 48376.0294360751. The cubic root of 2340240224 is about 1327.6598235961.

Adding to 2340240224 its reverse (4220420432), we get a palindrome (6560660656).

The spelling of 2340240224 in words is "two billion, three hundred forty million, two hundred forty thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 181 197 224 293 362 394 586 724 788 1172 1267 1379 1448 1576 2051 2344 2534 2758 2896 3152 4102 4688 5068 5516 5792 6304 8204 9376 10136 11032 16408 20272 22064 32816 35657 40544 44128 53033 57721 65632 71314 106066 115442 142628 212132 230884 249599 285256 371231 404047 424264 461768 499198 570512 742462 808094 848528 923536 998396 1141024 1484924 1616188 1697056 1847072 1996792 2969848 3232376 3993584 5939696 6464752 7987168 10447501 11879392 12929504 20895002 41790004 73132507 83580008 146265014 167160016 292530028 334320032 585060056 1170120112 2340240224