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340636816881 = 34648492
BaseRepresentation
bin1001111010011111000…
…10010101010111110001
31012120020120021012210000
410331033202111113301
521040111011120011
6420253021100213
733416204112204
oct4751742252761
91176216235700
10340636816881
1112151066a289
12560266b7669
1326177aca79a
14126b611b93b
158cda037356
hex4f4f8955f1

340636816881 has 15 divisors (see below), whose sum is σ = 508860375771. Its totient is φ = 227087709408.

The previous prime is 340636816859. The next prime is 340636816913. The reversal of 340636816881 is 188618636043.

The square root of 340636816881 is 583641.

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

340636816881 is a `hidden beast` number, since 3 + 40 + 6 + 368 + 168 + 81 = 666.

It can be written as a sum of positive squares in only one way, i.e., 148372106481 + 192264710400 = 385191^2 + 438480^2 .

It is not a de Polignac number, because 340636816881 - 213 = 340636808689 is a prime.

It is a super-2 number, since 2×3406368168812 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (340636816811) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 5220345 + ... + 5285193.

Almost surely, 2340636816881 is an apocalyptic number.

340636816881 is the 583641-st square number.

340636816881 is the 291821-st centered octagonal number.

It is an amenable number.

340636816881 is a deficient number, since it is larger than the sum of its proper divisors (168223558890).

340636816881 is an frugal number, since it uses more digits than its factorization.

340636816881 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129710 (or 64852 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 340636816881 in words is "three hundred forty billion, six hundred thirty-six million, eight hundred sixteen thousand, eight hundred eighty-one".

Divisors: 1 3 9 27 81 64849 194547 583641 1750923 5252769 4205392801 12616178403 37848535209 113545605627 340636816881