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2340232731776 = 27173461310741
BaseRepresentation
bin100010000011100000101…
…111011001110010000000
322021201112211202102012002
4202003200233121302000
5301320244034404101
64551031005123132
7331035102002462
oct42034057316200
98251484672162
102340232731776
1182253a404a35
123196772594a8
1313c8b5720034
14813a7062132
1540d1c7e5d6b
hex220e0bd9c80

2340232731776 has 64 divisors (see below), whose sum is σ = 4937870610360. Its totient is φ = 1100964249600.

The previous prime is 2340232731773. The next prime is 2340232731779. The reversal of 2340232731776 is 6771372320432.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2340232731773) and next prime (2340232731779).

It can be written as a sum of positive squares in 4 ways, for example, as 1492404289600 + 847828442176 = 1221640^2 + 920776^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×23402327317762 (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2340232731776.

It is not an unprimeable number, because it can be changed into a prime (2340232731773) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7375766 + ... + 7686506.

Almost surely, 22340232731776 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 2340232731776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2468935305180).

2340232731776 is an abundant number, since it is smaller than the sum of its proper divisors (2597637878584).

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

2340232731776 is a wasteful number, since it uses less digits than its factorization.

2340232731776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314233 (or 314221 counting only the distinct ones).

The product of its (nonzero) digits is 1778112, while the sum is 47.

The spelling of 2340232731776 in words is "two trillion, three hundred forty billion, two hundred thirty-two million, seven hundred thirty-one thousand, seven hundred seventy-six".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 272 544 1088 2176 3461 6922 13844 27688 55376 58837 110752 117674 221504 235348 310741 443008 470696 621482 941392 1242964 1882784 2485928 3765568 4971856 5282597 7531136 9943712 10565194 19887424 21130388 39774848 42260776 84521552 169043104 338086208 676172416 1075474601 2150949202 4301898404 8603796808 17207593616 18283068217 34415187232 36566136434 68830374464 73132272868 137660748928 146264545736 292529091472 585058182944 1170116365888 2340232731776