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234134340 = 2235111918671
BaseRepresentation
bin11011111010010…
…01101101000100
3121022120020221020
431331021231010
5434414244330
635122151140
75542052256
oct1575115504
9538506836
10234134340
11110187660
12664b24b0
133967903b
1423149cd6
151584d210
hexdf49b44

234134340 has 96 divisors (see below), whose sum is σ = 752855040. Its totient is φ = 53769600.

The previous prime is 234134339. The next prime is 234134363. The reversal of 234134340 is 43431432.

It is a self number, because there is not a number n which added to its sum of digits gives 234134340.

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, 3205 + ... + 21875.

It is an arithmetic number, because the mean of its divisors is an integer number (7842240).

Almost surely, 2234134340 is an apocalyptic number.

234134340 is a gapful number since it is divisible by the number (20) 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 234134340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376427520).

234134340 is an abundant number, since it is smaller than the sum of its proper divisors (518720700).

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

234134340 is a wasteful number, since it uses less digits than its factorization.

234134340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18713 (or 18711 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 234134340 is about 15301.4489509981. The cubic root of 234134340 is about 616.3419174773.

Adding to 234134340 its reverse (43431432), we get a palindrome (277565772).

The spelling of 234134340 in words is "two hundred thirty-four million, one hundred thirty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 19 20 22 30 33 38 44 55 57 60 66 76 95 110 114 132 165 190 209 220 228 285 330 380 418 570 627 660 836 1045 1140 1254 2090 2508 3135 4180 6270 12540 18671 37342 56013 74684 93355 112026 186710 205381 224052 280065 354749 373420 410762 560130 616143 709498 821524 1026905 1064247 1120260 1232286 1418996 1773745 2053810 2128494 2464572 3080715 3547490 3902239 4107620 4256988 5321235 6161430 7094980 7804478 10642470 11706717 12322860 15608956 19511195 21284940 23413434 39022390 46826868 58533585 78044780 117067170 234134340