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343203634666656 = 25326119535726017
BaseRepresentation
bin100111000001001000101001…
…0101110101101110010100000
31200000011221120101200202102200
41032002101102232231302200
5324441022020433313111
63213533323445413200
7132201434003102541
oct11602212256556240
91600157511622380
10343203634666656
119a39a931518305
12325ab1b6a0a200
1311966c6b84886a
1460a72049004c8
1529a27aa3a2256
hex1382452badca0

343203634666656 has 72 divisors (see below), whose sum is σ = 991985095742004. Its totient is φ = 112525781852160.

The previous prime is 343203634666589. The next prime is 343203634666687. The reversal of 343203634666656 is 656666436302343.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 263278532739600 + 79925101927056 = 16225860^2 + 8940084^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 343203634666593 and 343203634666602.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9767845441 + ... + 9767880576.

Almost surely, 2343203634666656 is an apocalyptic number.

343203634666656 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

343203634666656 is an abundant number, since it is smaller than the sum of its proper divisors (648781461075348).

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

343203634666656 is a wasteful number, since it uses less digits than its factorization.

343203634666656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19535726094 (or 19535726083 counting only the distinct ones).

The product of its (nonzero) digits is 604661760, while the sum is 63.

The spelling of 343203634666656 in words is "three hundred forty-three trillion, two hundred three billion, six hundred thirty-four million, six hundred sixty-six thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 61 72 96 122 144 183 244 288 366 488 549 732 976 1098 1464 1952 2196 2928 4392 5856 8784 17568 19535726017 39071452034 58607178051 78142904068 117214356102 156285808136 175821534153 234428712204 312571616272 351643068306 468857424408 625143232544 703286136612 937714848816 1191679287037 1406572273224 1875429697632 2383358574074 2813144546448 3575037861111 4766717148148 5626289092896 7150075722222 9533434296296 10725113583333 14300151444444 19066868592592 21450227166666 28600302888888 38133737185184 42900454333332 57200605777776 85800908666664 114401211555552 171601817333328 343203634666656