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340690513969 = 1325927612
BaseRepresentation
bin1001111010100101011…
…11001011000000110001
31012120101022022022100001
410331102233023000301
521040213232421334
6420302220030001
733420425405401
oct4752257130061
91176338268301
10340690513969
11121538a05743
1256040692301
1326185c7b900
14126bd2d8801
158cdeae2714
hex4f52bcb031

340690513969 has 27 divisors (see below), whose sum is σ = 375765923649. Its totient is φ = 308747075520.

The previous prime is 340690513931. The next prime is 340690513981. The reversal of 340690513969 is 969315096043.

The square root of 340690513969 is 583687.

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 277281230625 + 63409283344 = 526575^2 + 251812^2 .

It is not a de Polignac number, because 340690513969 - 213 = 340690505777 is a prime.

It is a super-2 number, since 2×3406905139692 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (340690553969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 447687549 + ... + 447688309.

Almost surely, 2340690513969 is an apocalyptic number.

340690513969 is the 583687-th square number.

340690513969 is the 291844-th centered octagonal number.

It is an amenable number.

340690513969 is a deficient number, since it is larger than the sum of its proper divisors (35075409680).

340690513969 is an frugal number, since it uses more digits than its factorization.

340690513969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1666 (or 833 counting only the distinct ones).

The product of its (nonzero) digits is 4723920, while the sum is 55.

The spelling of 340690513969 in words is "three hundred forty billion, six hundred ninety million, five hundred thirteen thousand, nine hundred sixty-nine".

Divisors: 1 13 59 169 761 767 3481 9893 9971 44899 45253 128609 579121 583687 588289 2649041 7528573 7587931 34168139 34437533 97871449 444185807 447687929 2015920201 5774415491 26206962613 340690513969