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343378280 = 23572414273
BaseRepresentation
bin10100011101111…
…000100101101000
3212221010102110002
4110131320211220
51200401101110
654023442132
711336444600
oct2435704550
9787112402
10343378280
11166912203
1296bb6348
13561a821b
1433865c00
152022baa5
hex14778968

343378280 has 96 divisors (see below), whose sum is σ = 920876040. Its totient is φ = 114831360.

The previous prime is 343378261. The next prime is 343378297. The reversal of 343378280 is 82873343.

343378280 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 144624676 + 198753604 = 12026^2 + 14098^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78224 + ... + 82496.

Almost surely, 2343378280 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 343378280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460438020).

343378280 is an abundant number, since it is smaller than the sum of its proper divisors (577497760).

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

343378280 is a wasteful number, since it uses less digits than its factorization.

343378280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4339 (or 4328 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 38.

The square root of 343378280 is about 18530.4689633047. The cubic root of 343378280 is about 700.2572387906.

The spelling of 343378280 in words is "three hundred forty-three million, three hundred seventy-eight thousand, two hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 41 49 56 70 82 98 140 164 196 205 245 280 287 328 392 410 490 574 820 980 1148 1435 1640 1960 2009 2296 2870 4018 4273 5740 8036 8546 10045 11480 16072 17092 20090 21365 29911 34184 40180 42730 59822 80360 85460 119644 149555 170920 175193 209377 239288 299110 350386 418754 598220 700772 837508 875965 1046885 1196440 1226351 1401544 1675016 1751930 2093770 2452702 3503860 4187540 4905404 6131755 7007720 8375080 8584457 9810808 12263510 17168914 24527020 34337828 42922285 49054040 68675656 85844570 171689140 343378280