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343242120 = 233513613607
BaseRepresentation
bin10100011101010…
…111010110001000
3212220212111200010
4110131113112020
51200332221440
654020511520
711335336614
oct2435272610
9786774603
10343242120
11166829981
1296b4b5a0
135615b260
143382c344
1520201580
hex14757588

343242120 has 128 divisors (see below), whose sum is σ = 1127427840. Its totient is φ = 83082240.

The previous prime is 343242113. The next prime is 343242143. The reversal of 343242120 is 21242343.

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, 93357 + ... + 96963.

It is an arithmetic number, because the mean of its divisors is an integer number (8808030).

Almost surely, 2343242120 is an apocalyptic number.

343242120 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 343242120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563713920).

343242120 is an abundant number, since it is smaller than the sum of its proper divisors (784185720).

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

343242120 is a wasteful number, since it uses less digits than its factorization.

343242120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3695 (or 3691 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 343242120 is about 18526.7946499118. The cubic root of 343242120 is about 700.1646687431.

Adding to 343242120 its reverse (21242343), we get a palindrome (364484463).

The spelling of 343242120 in words is "three hundred forty-three million, two hundred forty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 61 65 78 104 120 122 130 156 183 195 244 260 305 312 366 390 488 520 610 732 780 793 915 1220 1464 1560 1586 1830 2379 2440 3172 3607 3660 3965 4758 6344 7214 7320 7930 9516 10821 11895 14428 15860 18035 19032 21642 23790 28856 31720 36070 43284 46891 47580 54105 72140 86568 93782 95160 108210 140673 144280 187564 216420 220027 234455 281346 375128 432840 440054 468910 562692 660081 703365 880108 937820 1100135 1125384 1320162 1406730 1760216 1875640 2200270 2640324 2813460 2860351 3300405 4400540 5280648 5626920 5720702 6600810 8581053 8801080 11441404 13201620 14301755 17162106 22882808 26403240 28603510 34324212 42905265 57207020 68648424 85810530 114414040 171621060 343242120