Search a number
-
+
243113360 = 24571973313
BaseRepresentation
bin11100111110110…
…01110110010000
3121221110102211112
432133121312100
5444214111420
640042432452
76011300210
oct1637316620
9557412745
10243113360
1111525a736
1269502728
133b4a0c79
1424406240
15165238c5
hexe7d9d90

243113360 has 160 divisors (see below), whose sum is σ = 691503360. Its totient is φ = 77635584.

The previous prime is 243113327. The next prime is 243113389. The reversal of 243113360 is 63311342.

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, 776564 + ... + 776876.

It is an arithmetic number, because the mean of its divisors is an integer number (4321896).

Almost surely, 2243113360 is an apocalyptic number.

243113360 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 243113360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345751680).

243113360 is an abundant number, since it is smaller than the sum of its proper divisors (448390000).

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

243113360 is a wasteful number, since it uses less digits than its factorization.

243113360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

The square root of 243113360 is about 15592.0928678609. The cubic root of 243113360 is about 624.1221681686.

The spelling of 243113360 in words is "two hundred forty-three million, one hundred thirteen thousand, three hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 35 38 40 56 70 73 76 80 95 112 133 140 146 152 190 266 280 292 304 313 365 380 511 532 560 584 626 665 730 760 1022 1064 1168 1252 1330 1387 1460 1520 1565 2044 2128 2191 2504 2555 2660 2774 2920 3130 4088 4382 5008 5110 5320 5548 5840 5947 6260 6935 8176 8764 9709 10220 10640 10955 11096 11894 12520 13870 17528 19418 20440 21910 22192 22849 23788 25040 27740 29735 35056 38836 40880 41629 43820 45698 47576 48545 55480 59470 77672 83258 87640 91396 95152 97090 110960 114245 118940 155344 159943 166516 175280 182792 194180 208145 228490 237880 319886 333032 365584 388360 416290 434131 456980 475760 639772 666064 776720 799715 832580 868262 913960 1279544 1599430 1665160 1736524 1827920 2170655 2559088 3038917 3198860 3330320 3473048 4341310 6077834 6397720 6946096 8682620 12155668 12795440 15194585 17365240 24311336 30389170 34730480 48622672 60778340 121556680 243113360