Search a number
-
+
103334000 = 2453711261
BaseRepresentation
bin1100010100011…
…00000001110000
321012102220121012
412022030001300
5202423142000
614130450052
72363216210
oct612140160
9235386535
10103334000
1153369400
122a733928
13185401a3
14da1c240
159112735
hex628c070

103334000 has 240 divisors, whose sum is σ = 319021248. Its totient is φ = 31680000.

The previous prime is 103333987. The next prime is 103334053. The reversal of 103334000 is 433301.

It is a happy number.

103334000 is nontrivially palindromic in base 3.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1693970 + ... + 1694030.

Almost surely, 2103334000 is an apocalyptic number.

103334000 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 103334000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159510624).

103334000 is an abundant number, since it is smaller than the sum of its proper divisors (215687248).

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

103334000 is a wasteful number, since it uses less digits than its factorization.

103334000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

The square root of 103334000 is about 10165.3332458902. Note that the first 3 decimals coincide. The cubic root of 103334000 is about 469.2609480380.

Adding to 103334000 its reverse (433301), we get a palindrome (103767301).

The spelling of 103334000 in words is "one hundred three million, three hundred thirty-four thousand".