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234704340 = 2232513195279
BaseRepresentation
bin11011111110101…
…00110111010100
3121100122012211100
431333110313110
5440041014330
635142310100
75546645133
oct1577246724
9540565740
10234704340
11110536932
1266728330
1339818610
142325791a
1515912060
hexdfd4dd4

234704340 has 144 divisors (see below), whose sum is σ = 807206400. Its totient is φ = 54722304.

The previous prime is 234704333. The next prime is 234704341. The reversal of 234704340 is 43407432.

It is a super-2 number, since 2×2347043402 = 110172254429671200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234704341) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41821 + ... + 47099.

It is an arithmetic number, because the mean of its divisors is an integer number (5605600).

Almost surely, 2234704340 is an apocalyptic number.

234704340 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 234704340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403603200).

234704340 is an abundant number, since it is smaller than the sum of its proper divisors (572502060).

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

234704340 is a wasteful number, since it uses less digits than its factorization.

234704340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5326 (or 5321 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 27.

The square root of 234704340 is about 15320.0633157961. The cubic root of 234704340 is about 616.8416735660.

The spelling of 234704340 in words is "two hundred thirty-four million, seven hundred four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 19 20 26 30 36 38 39 45 52 57 60 65 76 78 90 95 114 117 130 156 171 180 190 195 228 234 247 260 285 342 380 390 468 494 570 585 684 741 780 855 988 1140 1170 1235 1482 1710 2223 2340 2470 2964 3420 3705 4446 4940 5279 7410 8892 10558 11115 14820 15837 21116 22230 26395 31674 44460 47511 52790 63348 68627 79185 95022 100301 105580 137254 158370 190044 200602 205881 237555 274508 300903 316740 343135 401204 411762 475110 501505 601806 617643 686270 823524 902709 950220 1003010 1029405 1203612 1235286 1303913 1372540 1504515 1805418 2006020 2058810 2470572 2607826 3009030 3088215 3610836 3911739 4117620 4513545 5215652 6018060 6176430 6519565 7823478 9027090 11735217 12352860 13039130 15646956 18054180 19558695 23470434 26078260 39117390 46940868 58676085 78234780 117352170 234704340