Search a number
-
+
68340240 = 24335291091
BaseRepresentation
bin1000001001011…
…00101000010000
311202121001012000
410010230220100
5114443341430
610440434000
71456611453
oct404545020
9152531160
1068340240
1135638041
121aa78900
131120a217
14910d49a
155eede60
hex412ca10

68340240 has 160 divisors (see below), whose sum is σ = 243734400. Its totient is φ = 17579520.

The previous prime is 68340203. The next prime is 68340247. The reversal of 68340240 is 4204386.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (68340247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62095 + ... + 63185.

It is an arithmetic number, because the mean of its divisors is an integer number (1523340).

Almost surely, 268340240 is an apocalyptic number.

68340240 is a gapful number since it is divisible by the number (60) 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 68340240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121867200).

68340240 is an abundant number, since it is smaller than the sum of its proper divisors (175394160).

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

68340240 is a wasteful number, since it uses less digits than its factorization.

68340240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1142 (or 1130 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 68340240 is about 8266.8155900564. The cubic root of 68340240 is about 408.8451339881.

The spelling of 68340240 in words is "sixty-eight million, three hundred forty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 29 30 36 40 45 48 54 58 60 72 80 87 90 108 116 120 135 144 145 174 180 216 232 240 261 270 290 348 360 432 435 464 522 540 580 696 720 783 870 1044 1080 1091 1160 1305 1392 1566 1740 2088 2160 2182 2320 2610 3132 3273 3480 3915 4176 4364 5220 5455 6264 6546 6960 7830 8728 9819 10440 10910 12528 13092 15660 16365 17456 19638 20880 21820 26184 29457 31320 31639 32730 39276 43640 49095 52368 58914 62640 63278 65460 78552 87280 94917 98190 117828 126556 130920 147285 157104 158195 189834 196380 235656 253112 261840 284751 294570 316390 379668 392760 471312 474585 506224 569502 589140 632780 759336 785520 854253 949170 1139004 1178280 1265560 1423755 1518672 1708506 1898340 2278008 2356560 2531120 2847510 3417012 3796680 4271265 4556016 5695020 6834024 7593360 8542530 11390040 13668048 17085060 22780080 34170120 68340240