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3230111400 = 2335214936131
BaseRepresentation
bin1100000010000111…
…1001011010101000
322100010000122211120
43000201321122220
523103402031100
61252304255240
7143021331255
oct30041713250
98303018746
103230111400
11140834a55a
12761911520
133c6282429
14228dc642c
1513d89a0a0
hexc08796a8

3230111400 has 96 divisors (see below), whose sum is σ = 10080828000. Its totient is φ = 855558400.

The previous prime is 3230111389. The next prime is 3230111407. The reversal of 3230111400 is 41110323.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 3230111400.

It is not an unprimeable number, because it can be changed into a prime (3230111407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71335 + ... + 107465.

It is an arithmetic number, because the mean of its divisors is an integer number (105008625).

Almost surely, 23230111400 is an apocalyptic number.

3230111400 is a gapful number since it is divisible by the number (30) 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 3230111400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5040414000).

3230111400 is an abundant number, since it is smaller than the sum of its proper divisors (6850716600).

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

3230111400 is a wasteful number, since it uses less digits than its factorization.

3230111400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36299 (or 36290 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 3230111400 is about 56834.0690079463. The cubic root of 3230111400 is about 1478.2203163716.

Adding to 3230111400 its reverse (41110323), we get a palindrome (3271221723).

The spelling of 3230111400 in words is "three billion, two hundred thirty million, one hundred eleven thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 149 150 200 298 300 447 596 600 745 894 1192 1490 1788 2235 2980 3576 3725 4470 5960 7450 8940 11175 14900 17880 22350 29800 36131 44700 72262 89400 108393 144524 180655 216786 289048 361310 433572 541965 722620 867144 903275 1083930 1445240 1806550 2167860 2709825 3613100 4335720 5383519 5419650 7226200 10767038 10839300 16150557 21534076 21678600 26917595 32301114 43068152 53835190 64602228 80752785 107670380 129204456 134587975 161505570 215340760 269175950 323011140 403763925 538351900 646022280 807527850 1076703800 1615055700 3230111400