Search a number
-
+
243927936 = 273473361
BaseRepresentation
bin11101000101000…
…00101110000000
3121222222211020000
432202200232000
5444421143221
640112120000
76021232110
oct1642405600
9558884200
10243927936
1111576673a
1269836000
133b6c7975
1424579040
1516634e26
hexe8a0b80

243927936 has 160 divisors (see below), whose sum is σ = 829876080. Its totient is φ = 69672960.

The previous prime is 243927923. The next prime is 243927989. The reversal of 243927936 is 639729342.

It is a super-2 number, since 2×2439279362 = 119001675922440192, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 243927891 and 243927900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 70896 + ... + 74256.

Almost surely, 2243927936 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 243927936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414938040).

243927936 is an abundant number, since it is smaller than the sum of its proper divisors (585948144).

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

243927936 is an equidigital number, since it uses as much as digits as its factorization.

243927936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3394 (or 3373 counting only the distinct ones).

The product of its digits is 489888, while the sum is 45.

The square root of 243927936 is about 15618.1924690407. The cubic root of 243927936 is about 624.8184526567.

The spelling of 243927936 in words is "two hundred forty-three million, nine hundred twenty-seven thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 81 84 96 108 112 126 128 144 162 168 189 192 216 224 252 288 324 336 378 384 432 448 504 567 576 648 672 756 864 896 1008 1134 1152 1296 1344 1512 1728 2016 2268 2592 2688 3024 3361 3456 4032 4536 5184 6048 6722 8064 9072 10083 10368 12096 13444 18144 20166 23527 24192 26888 30249 36288 40332 47054 53776 60498 70581 72576 80664 90747 94108 107552 120996 141162 161328 181494 188216 211743 215104 241992 272241 282324 322656 362988 376432 423486 430208 483984 544482 564648 635229 645312 725976 752864 846972 967968 1088964 1129296 1270458 1290624 1451952 1505728 1693944 1905687 1935936 2177928 2258592 2540916 2903904 3011456 3387888 3811374 3871872 4355856 4517184 5081832 5807808 6775776 7622748 8711712 9034368 10163664 11615616 13551552 15245496 17423424 20327328 27103104 30490992 34846848 40654656 60981984 81309312 121963968 243927936