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234350340 = 223572791009
BaseRepresentation
bin11011111011111…
…10011100000100
3121022222020020020
431331332130010
5434443202330
635130535140
75543642100
oct1575763404
9538866206
10234350340
11110314974
12665974b0
1339723453
14231a4900
1515892210
hexdf7e704

234350340 has 144 divisors (see below), whose sum is σ = 773740800. Its totient is φ = 52835328.

The previous prime is 234350323. The next prime is 234350371. The reversal of 234350340 is 43053432.

It is a self number, because there is not a number n which added to its sum of digits gives 234350340.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 231756 + ... + 232764.

It is an arithmetic number, because the mean of its divisors is an integer number (5373200).

Almost surely, 2234350340 is an apocalyptic number.

234350340 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 234350340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386870400).

234350340 is an abundant number, since it is smaller than the sum of its proper divisors (539390460).

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

234350340 is a wasteful number, since it uses less digits than its factorization.

234350340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1114 (or 1105 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 24.

The square root of 234350340 is about 15308.5054789813. The cubic root of 234350340 is about 616.5313940767.

The spelling of 234350340 in words is "two hundred thirty-four million, three hundred fifty thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 79 84 98 105 140 147 158 196 210 237 245 294 316 395 420 474 490 553 588 735 790 948 980 1009 1106 1185 1470 1580 1659 2018 2212 2370 2765 2940 3027 3318 3871 4036 4740 5045 5530 6054 6636 7063 7742 8295 10090 11060 11613 12108 14126 15135 15484 16590 19355 20180 21189 23226 28252 30270 33180 35315 38710 42378 46452 49441 58065 60540 70630 77420 79711 84756 98882 105945 116130 141260 148323 159422 197764 211890 232260 239133 247205 296646 318844 398555 423780 478266 494410 557977 593292 741615 797110 956532 988820 1115954 1195665 1483230 1594220 1673931 2231908 2391330 2789885 2966460 3347862 3905839 4782660 5579770 6695724 7811678 8369655 11159540 11717517 15623356 16739310 19529195 23435034 33478620 39058390 46870068 58587585 78116780 117175170 234350340