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243420336 = 24333797157
BaseRepresentation
bin11101000001001…
…00110010110000
3121222001000221000
432200210302300
5444303422321
640053202000
76014016165
oct1640446260
9558030830
10243420336
1111544a335
1269630300
133b57a903
142448606c
1516584826
hexe824cb0

243420336 has 160 divisors (see below), whose sum is σ = 729606080. Its totient is φ = 77635584.

The previous prime is 243420329. The next prime is 243420337. The reversal of 243420336 is 633024342.

It is a happy number.

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 (243420337) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1550370 + ... + 1550526.

It is an arithmetic number, because the mean of its divisors is an integer number (4560038).

Almost surely, 2243420336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 243420336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364803040).

243420336 is an abundant number, since it is smaller than the sum of its proper divisors (486185744).

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

243420336 is a wasteful number, since it uses less digits than its factorization.

243420336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

The square root of 243420336 is about 15601.9337263046. The cubic root of 243420336 is about 624.3847479292.

Adding to 243420336 its reverse (633024342), we get a palindrome (876444678).

The spelling of 243420336 in words is "two hundred forty-three million, four hundred twenty thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 37 48 54 72 74 97 108 111 144 148 157 194 216 222 291 296 314 333 388 432 444 471 582 592 628 666 776 873 888 942 999 1164 1256 1332 1413 1552 1746 1776 1884 1998 2328 2512 2619 2664 2826 3492 3589 3768 3996 4239 4656 5238 5328 5652 5809 6984 7178 7536 7992 8478 10476 10767 11304 11618 13968 14356 15229 15984 16956 17427 20952 21534 22608 23236 28712 30458 32301 33912 34854 41904 43068 45687 46472 52281 57424 60916 64602 67824 69708 86136 91374 92944 96903 104562 121832 129204 137061 139416 156843 172272 182748 193806 209124 243664 258408 274122 278832 313686 365496 387612 411183 418248 516816 548244 563473 627372 730992 775224 822366 836496 1096488 1126946 1254744 1550448 1644732 1690419 2192976 2253892 2509488 3289464 3380838 4507784 5071257 6578928 6761676 9015568 10142514 13523352 15213771 20285028 27046704 30427542 40570056 60855084 81140112 121710168 243420336