Search a number
-
+
343600140 = 2235133731181
BaseRepresentation
bin10100011110101…
…110110000001100
3212221112200210010
4110132232300030
51200430201030
654032313220
711341360452
oct2436566014
9787480703
10343600140
11166a53964
12970a2810
13562551c0
14338c29d2
15202726b0
hex147aec0c

343600140 has 96 divisors (see below), whose sum is σ = 1039743936. Its totient is φ = 84280320.

The previous prime is 343600121. The next prime is 343600157. The reversal of 343600140 is 41006343.

It is a super-2 number, since 2×3436001402 = 236122112416039200, which contains 22 as substring.

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, 290350 + ... + 291530.

It is an arithmetic number, because the mean of its divisors is an integer number (10830666).

Almost surely, 2343600140 is an apocalyptic number.

343600140 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 343600140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519871968).

343600140 is an abundant number, since it is smaller than the sum of its proper divisors (696143796).

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

343600140 is a wasteful number, since it uses less digits than its factorization.

343600140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1579 (or 1577 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 343600140 is about 18536.4543535165. The cubic root of 343600140 is about 700.4080206274.

Adding to 343600140 its reverse (41006343), we get a palindrome (384606483).

The spelling of 343600140 in words is "three hundred forty-three million, six hundred thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 373 390 746 780 1119 1181 1492 1865 2238 2362 3543 3730 4476 4724 4849 5595 5905 7086 7460 9698 11190 11810 14172 14547 15353 17715 19396 22380 23620 24245 29094 30706 35430 46059 48490 58188 61412 70860 72735 76765 92118 96980 145470 153530 184236 230295 290940 307060 440513 460590 881026 921180 1321539 1762052 2202565 2643078 4405130 5286156 5726669 6607695 8810260 11453338 13215390 17180007 22906676 26430780 28633345 34360014 57266690 68720028 85900035 114533380 171800070 343600140