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343874433963061 = 47157177727899403
BaseRepresentation
bin100111000110000001000000…
…1011110111101010000110101
31200002120002000112220201100001
41032030002001132331100311
5330033014320043304221
63215205422322351301
7132301052020043461
oct11614020136752065
91602502015821301
10343874433963061
119a629368203111
12326992041bb531
13119b52b23b8261
1460cb87b9c14a1
1529b4e6aab9391
hex138c0817bd435

343874433963061 has 32 divisors (see below), whose sum is σ = 353791100920320. Its totient is φ = 334070715902976.

The previous prime is 343874433963023. The next prime is 343874433963097. The reversal of 343874433963061 is 160369334478343.

343874433963061 is a nontrivial binomial coefficient, being equal to C(26224967, 2).

It is a cyclic number.

It is not a de Polignac number, because 343874433963061 - 27 = 343874433962933 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 343874433962984 and 343874433963002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (343874433963001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36570710386 + ... + 36570719788.

It is an arithmetic number, because the mean of its divisors is an integer number (11055971903760).

Almost surely, 2343874433963061 is an apocalyptic number.

343874433963061 is the 26224966-th triangular number and also the 9912106-th nonagonal number.

343874433963061 is the 8741656-th centered nonagonal number.

It is an amenable number.

343874433963061 is a deficient number, since it is larger than the sum of its proper divisors (9916666957259).

343874433963061 is a wasteful number, since it uses less digits than its factorization.

343874433963061 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14173.

The product of its (nonzero) digits is 282175488, while the sum is 64.

The spelling of 343874433963061 in words is "three hundred forty-three trillion, eight hundred seventy-four billion, four hundred thirty-three million, nine hundred sixty-three thousand, sixty-one".

Divisors: 1 47 157 1777 2789 7379 9403 83519 131083 278989 437873 441941 1476271 4956053 13112483 16709131 20580031 26224967 69384737 232934491 778100321 785329157 1232573449 2623333567 4117319819 36570715087 46601766359 123296677649 193514031493 2190283018873 7316477318363 343874433963061