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343804680 = 233254123293
BaseRepresentation
bin10100011111100…
…000101100001000
3212221221002100200
4110133200230020
51201003222210
654040532200
711343202002
oct2437405410
9787832320
10343804680
111670835aa
1297181060
13562c732b
1433937372
15202b30c0
hex147e0b08

343804680 has 96 divisors (see below), whose sum is σ = 1144667160. Its totient is φ = 89441280.

The previous prime is 343804679. The next prime is 343804687. The reversal of 343804680 is 86408343.

It can be written as a sum of positive squares in 4 ways, for example, as 85045284 + 258759396 = 9222^2 + 16086^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (343804687) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3114 + ... + 26406.

Almost surely, 2343804680 is an apocalyptic number.

343804680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 343804680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572333580).

343804680 is an abundant number, since it is smaller than the sum of its proper divisors (800862480).

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

343804680 is a wasteful number, since it uses less digits than its factorization.

343804680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23351 (or 23344 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 343804680 is about 18541.9707690418. The cubic root of 343804680 is about 700.5469738487.

It can be divided in two parts, 34380 and 4680, that added together give a triangular number (39060 = T279).

The spelling of 343804680 in words is "three hundred forty-three million, eight hundred four thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 41 45 60 72 82 90 120 123 164 180 205 246 328 360 369 410 492 615 738 820 984 1230 1476 1640 1845 2460 2952 3690 4920 7380 14760 23293 46586 69879 93172 116465 139758 186344 209637 232930 279516 349395 419274 465860 559032 698790 838548 931720 955013 1048185 1397580 1677096 1910026 2096370 2795160 2865039 3820052 4192740 4775065 5730078 7640104 8385480 8595117 9550130 11460156 14325195 17190234 19100260 22920312 28650390 34380468 38200520 42975585 57300780 68760936 85951170 114601560 171902340 343804680