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343395920 = 24572175153
BaseRepresentation
bin10100011101111…
…100111001010000
3212221011022122102
4110131330321100
51200402132140
654024055532
711336550200
oct2435747120
9787138572
10343395920
1116692448a
12970045a8
13561b326a
143386c400
1520231e15
hex1477ce50

343395920 has 120 divisors (see below), whose sum is σ = 983568744. Its totient is φ = 110788608.

The previous prime is 343395919. The next prime is 343395961. The reversal of 343395920 is 29593343.

It can be written as a sum of positive squares in 4 ways, for example, as 89567296 + 253828624 = 9464^2 + 15932^2 .

It is a congruent number.

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, 64064 + ... + 69216.

Almost surely, 2343395920 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 343395920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491784372).

343395920 is an abundant number, since it is smaller than the sum of its proper divisors (640172824).

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

343395920 is a wasteful number, since it uses less digits than its factorization.

343395920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5197 (or 5184 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 38.

The square root of 343395920 is about 18530.9449300353. The cubic root of 343395920 is about 700.2692297705.

The spelling of 343395920 in words is "three hundred forty-three million, three hundred ninety-five thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 28 34 35 40 49 56 68 70 80 85 98 112 119 136 140 170 196 238 245 272 280 340 392 476 490 560 595 680 784 833 952 980 1190 1360 1666 1904 1960 2380 3332 3920 4165 4760 5153 6664 8330 9520 10306 13328 16660 20612 25765 33320 36071 41224 51530 66640 72142 82448 87601 103060 144284 175202 180355 206120 252497 288568 350404 360710 412240 438005 504994 577136 613207 700808 721420 876010 1009988 1226414 1262485 1401616 1442840 1752020 2019976 2452828 2524970 2885680 3066035 3504040 4039952 4292449 4905656 5049940 6132070 7008080 8584898 9811312 10099880 12264140 17169796 20199760 21462245 24528280 34339592 42924490 49056560 68679184 85848980 171697960 343395920