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231311340 = 2232513412411
BaseRepresentation
bin11011100100110…
…00011111101100
3121010020211111200
431302120133230
5433203430330
634541445500
75506054041
oct1562303754
9533224450
10231311340
111096296a7
1265570890
1338bcb120
1422a131c8
1515491a60
hexdc987ec

231311340 has 144 divisors (see below), whose sum is σ = 774367776. Its totient is φ = 55526400.

The previous prime is 231311287. The next prime is 231311357. The reversal of 231311340 is 43113132.

231311340 is a `hidden beast` number, since 2 + 313 + 11 + 340 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 94735 + ... + 97145.

It is an arithmetic number, because the mean of its divisors is an integer number (5377554).

Almost surely, 2231311340 is an apocalyptic number.

231311340 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 231311340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387183888).

231311340 is an abundant number, since it is smaller than the sum of its proper divisors (543056436).

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

231311340 is a wasteful number, since it uses less digits than its factorization.

231311340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2480 (or 2475 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 231311340 is about 15208.9230387954. The cubic root of 231311340 is about 613.8547793231.

Adding to 231311340 its reverse (43113132), we get a palindrome (274424472).

The spelling of 231311340 in words is "two hundred thirty-one million, three hundred eleven thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 41 45 52 60 65 78 82 90 117 123 130 156 164 180 195 205 234 246 260 369 390 410 468 492 533 585 615 738 780 820 1066 1170 1230 1476 1599 1845 2132 2340 2411 2460 2665 3198 3690 4797 4822 5330 6396 7233 7380 7995 9594 9644 10660 12055 14466 15990 19188 21699 23985 24110 28932 31343 31980 36165 43398 47970 48220 62686 72330 86796 94029 95940 98851 108495 125372 144660 156715 188058 197702 216990 282087 296553 313430 376116 395404 433980 470145 494255 564174 593106 626860 889659 940290 988510 1128348 1186212 1285063 1410435 1482765 1779318 1880580 1977020 2570126 2820870 2965530 3558636 3855189 4448295 5140252 5641740 5931060 6425315 7710378 8896590 11565567 12850630 15420756 17793180 19275945 23131134 25701260 38551890 46262268 57827835 77103780 115655670 231311340