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234113040 = 24325746451
BaseRepresentation
bin11011111010001…
…00100000010000
3121022112011201100
431331010200100
5434413104130
635121504400
75541633210
oct1575044020
9538464640
10234113040
11110172657
12664a2100
133966c435
1423142240
1515846c60
hexdf44810

234113040 has 120 divisors (see below), whose sum is σ = 898567488. Its totient is φ = 53510400.

The previous prime is 234113017. The next prime is 234113081. The reversal of 234113040 is 40311432.

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18186 + ... + 28265.

Almost surely, 2234113040 is an apocalyptic number.

234113040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

234113040 is an abundant number, since it is smaller than the sum of its proper divisors (664454448).

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

234113040 is a wasteful number, since it uses less digits than its factorization.

234113040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46477 (or 46468 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 234113040 is about 15300.7529226506. The cubic root of 234113040 is about 616.3232266680.

Adding to 234113040 its reverse (40311432), we get a palindrome (274424472).

The spelling of 234113040 in words is "two hundred thirty-four million, one hundred thirteen thousand, 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 46451 92902 139353 185804 232255 278706 325157 371608 418059 464510 557412 650314 696765 743216 836118 929020 975471 1114824 1300628 1393530 1625785 1672236 1858040 1950942 2090295 2229648 2601256 2787060 2926413 3251570 3344472 3716080 3901884 4180590 4877355 5202512 5574120 5852826 6503140 6688944 7803768 8361180 9754710 11148240 11705652 13006280 14632065 15607536 16722360 19509420 23411304 26012560 29264130 33444720 39018840 46822608 58528260 78037680 117056520 234113040