Search a number
-
+
1143340200 = 23325219101331
BaseRepresentation
bin100010000100101…
…1111110010101000
32221200101200220100
41010021133302220
54320143341300
6305241425400
740222142232
oct10411376250
92850350810
101143340200
11537427462
1227aa9b260
13152b46982
14abbc1252
156a597700
hex4425fca8

1143340200 has 288 divisors, whose sum is σ = 4094157600. Its totient is φ = 285120000.

The previous prime is 1143340157. The next prime is 1143340217. The reversal of 1143340200 is 20433411.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3454035 + ... + 3454365.

It is an arithmetic number, because the mean of its divisors is an integer number (14215825).

Almost surely, 21143340200 is an apocalyptic number.

1143340200 is a gapful number since it is divisible by the number (10) 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 1143340200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2047078800).

1143340200 is an abundant number, since it is smaller than the sum of its proper divisors (2950817400).

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

1143340200 is a wasteful number, since it uses less digits than its factorization.

1143340200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473 (or 461 counting only the distinct ones).

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

The square root of 1143340200 is about 33813.3139458409. The cubic root of 1143340200 is about 1045.6632008804.

Adding to 1143340200 its reverse (20433411), we get a palindrome (1163773611).

The spelling of 1143340200 in words is "one billion, one hundred forty-three million, three hundred forty thousand, two hundred".