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340956727225 = 5229240272
BaseRepresentation
bin1001111011000101001…
…10101100011110111001
31012121001212020100021021
410331202212230132321
521041234410232400
6420344445542441
733430140235342
oct4754246543671
91177055210237
10340956727225
111216652026a4
12560b5874a21
13261c9179c4a
14127067d50c9
158d0817a71a
hex4f629ac7b9

340956727225 has 27 divisors (see below), whose sum is σ = 437976659757. Its totient is φ = 263294280480.

The previous prime is 340956727219. The next prime is 340956727229. The reversal of 340956727225 is 522727659043.

It is a happy number.

The square root of 340956727225 is 583915.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 4686634681 + 336270092544 = 68459^2 + 579888^2 .

It is not a de Polignac number, because 340956727225 - 229 = 340419856313 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (340956727229) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 84665662 + ... + 84669688.

Almost surely, 2340956727225 is an apocalyptic number.

340956727225 is the 583915-th square number.

340956727225 is the 291958-th centered octagonal number.

It is an amenable number.

340956727225 is a deficient number, since it is larger than the sum of its proper divisors (97019932532).

340956727225 is an frugal number, since it uses more digits than its factorization.

340956727225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8122 (or 4061 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 52.

The spelling of 340956727225 in words is "three hundred forty billion, nine hundred fifty-six million, seven hundred twenty-seven thousand, two hundred twenty-five".

Divisors: 1 5 25 29 145 725 841 4027 4205 20135 21025 100675 116783 583915 2919575 3386707 16216729 16933535 81083645 84667675 405418225 470285141 2351425705 11757128525 13638269089 68191345445 340956727225