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212340240 = 24325742131
BaseRepresentation
bin11001010100000…
…00111000010000
3112210120000001100
430222000320100
5413324341430
633023104400
75155601520
oct1452007020
9483500040
10212340240
11a9951402
125b142100
1334cb8118
14202b5680
1513995960
hexca80e10

212340240 has 120 divisors (see below), whose sum is σ = 815001408. Its totient is φ = 48533760.

The previous prime is 212340187. The next prime is 212340241. The reversal of 212340240 is 42043212.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is not an unprimeable number, because it can be changed into a prime (212340241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16026 + ... + 26105.

Almost surely, 2212340240 is an apocalyptic number.

212340240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212340240 is an abundant number, since it is smaller than the sum of its proper divisors (602661168).

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

212340240 is a wasteful number, since it uses less digits than its factorization.

212340240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42157 (or 42148 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 212340240 is about 14571.8989840034. The cubic root of 212340240 is about 596.5920126871.

Adding to 212340240 its reverse (42043212), we get a palindrome (254383452).

The spelling of 212340240 in words is "two hundred twelve million, three hundred forty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 35 36 40 42 45 48 56 60 63 70 72 80 84 90 105 112 120 126 140 144 168 180 210 240 252 280 315 336 360 420 504 560 630 720 840 1008 1260 1680 2520 5040 42131 84262 126393 168524 210655 252786 294917 337048 379179 421310 505572 589834 631965 674096 758358 842620 884751 1011144 1179668 1263930 1474585 1516716 1685240 1769502 1895895 2022288 2359336 2527860 2654253 2949170 3033432 3370480 3539004 3791790 4423755 4718672 5055720 5308506 5898340 6066864 7078008 7583580 8847510 10111440 10617012 11796680 13271265 14156016 15167160 17695020 21234024 23593360 26542530 30334320 35390040 42468048 53085060 70780080 106170120 212340240