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343334000 = 2453415379
BaseRepresentation
bin10100011101101…
…101110001110000
3212221001011201002
4110131231301300
51200343142000
654022501132
711336201522
oct2435556160
9787034632
10343334000
11166891a09
1296b947a8
1356191019
1433853a12
152021d8d5
hex1476dc70

343334000 has 160 divisors (see below), whose sum is σ = 877443840. Its totient is φ = 129792000.

The previous prime is 343333999. The next prime is 343334027. The reversal of 343334000 is 433343.

343334000 = T2301 + T2302 + ... + T2423.

It is a happy number.

343334000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4345961 + ... + 4346039.

It is an arithmetic number, because the mean of its divisors is an integer number (5484024).

Almost surely, 2343334000 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 343334000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438721920).

343334000 is an abundant number, since it is smaller than the sum of its proper divisors (534109840).

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

343334000 is a wasteful number, since it uses less digits than its factorization.

343334000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 20.

The square root of 343334000 is about 18529.2741358101. The cubic root of 343334000 is about 700.2271371745.

Adding to 343334000 its reverse (433343), we get a palindrome (343767343).

The spelling of 343334000 in words is "three hundred forty-three million, three hundred thirty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 41 50 53 79 80 82 100 106 125 158 164 200 205 212 250 265 316 328 395 400 410 424 500 530 632 656 790 820 848 1000 1025 1060 1264 1325 1580 1640 1975 2000 2050 2120 2173 2650 3160 3239 3280 3950 4100 4187 4240 4346 5125 5300 6320 6478 6625 7900 8200 8374 8692 9875 10250 10600 10865 12956 13250 15800 16195 16400 16748 17384 19750 20500 20935 21200 21730 25912 26500 31600 32390 33496 34768 39500 41000 41870 43460 51824 53000 54325 64780 66992 79000 80975 82000 83740 86920 104675 106000 108650 129560 158000 161950 167480 171667 173840 209350 217300 259120 271625 323900 334960 343334 404875 418700 434600 523375 543250 647800 686668 809750 837400 858335 869200 1046750 1086500 1295600 1373336 1619500 1674800 1716670 2093500 2173000 2746672 3239000 3433340 4187000 4291675 4346000 6478000 6866680 8374000 8583350 13733360 17166700 21458375 34333400 42916750 68666800 85833500 171667000 343334000