Search a number
-
+
310420000 = 2554111783
BaseRepresentation
bin10010100000001…
…010001000100000
3210122002222012001
4102200022020200
51113431420000
650445213344
710456345402
oct2240121040
9718088161
10310420000
1114a251160
1287b61254
134c408897
142d326b72
151c3bb46a
hex1280a220

310420000 has 240 divisors, whose sum is σ = 892739232. Its totient is φ = 104960000.

The previous prime is 310419997. The next prime is 310420009. The reversal of 310420000 is 24013.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (310420009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3739959 + ... + 3740041.

Almost surely, 2310420000 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 310420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446369616).

310420000 is an abundant number, since it is smaller than the sum of its proper divisors (582319232).

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

310420000 is a wasteful number, since it uses less digits than its factorization.

310420000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 310420000 is about 17618.7400230550. The cubic root of 310420000 is about 677.0954543524.

Adding to 310420000 its reverse (24013), we get a palindrome (310444013).

It can be divided in two parts, 3104 and 20000, that added together give a square (23104 = 1522).

The spelling of 310420000 in words is "three hundred ten million, four hundred twenty thousand".