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4234342240 = 255412932203
BaseRepresentation
bin1111110001100010…
…1110111101100000
3101221002122212120101
43330120232331200
532132442422430
61540100352144
7206634213052
oct37430567540
911832585511
104234342240
1118831a2aa7
129a20a5654
1352634126b
142c25158d2
1519bb14dca
hexfc62ef60

4234342240 has 96 divisors (see below), whose sum is σ = 10287266976. Its totient is φ = 1646039040.

The previous prime is 4234342237. The next prime is 4234342279. The reversal of 4234342240 is 422434324.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 4234342199 and 4234342208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1920979 + ... + 1923181.

It is an arithmetic number, because the mean of its divisors is an integer number (107159031).

Almost surely, 24234342240 is an apocalyptic number.

4234342240 is a gapful number since it is divisible by the number (40) 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 4234342240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5143633488).

4234342240 is an abundant number, since it is smaller than the sum of its proper divisors (6052924736).

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

4234342240 is a wasteful number, since it uses less digits than its factorization.

4234342240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2552 (or 2544 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 28.

The square root of 4234342240 is about 65071.8237027363. The cubic root of 4234342240 is about 1617.8142345488.

Adding to 4234342240 its reverse (422434324), we get a palindrome (4656776564).

The spelling of 4234342240 in words is "four billion, two hundred thirty-four million, three hundred forty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 80 82 160 164 205 293 328 410 586 656 820 1172 1312 1465 1640 2203 2344 2930 3280 4406 4688 5860 6560 8812 9376 11015 11720 12013 17624 22030 23440 24026 35248 44060 46880 48052 60065 70496 88120 90323 96104 120130 176240 180646 192208 240260 352480 361292 384416 451615 480520 645479 722584 903230 961040 1290958 1445168 1806460 1922080 2581916 2890336 3227395 3612920 5163832 6454790 7225840 10327664 12909580 14451680 20655328 25819160 26464639 51638320 52929278 103276640 105858556 132323195 211717112 264646390 423434224 529292780 846868448 1058585560 2117171120 4234342240