Search a number
-
+
1003424220 = 2233523173467
BaseRepresentation
bin111011110011110…
…000100111011100
32120221010020021000
4323303300213130
54023334033340
6243322510300
733602652021
oct7363604734
92527106230
101003424220
11475452517
12240065390
1312cb68956
149739d548
155d15ad30
hex3bcf09dc

1003424220 has 192 divisors, whose sum is σ = 3283338240. Its totient is φ = 253921536.

The previous prime is 1003424189. The next prime is 1003424231. The reversal of 1003424220 is 224243001.

1003424220 is a `hidden beast` number, since 100 + 342 + 4 + 220 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1003424193 and 1003424202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2148427 + ... + 2148893.

It is an arithmetic number, because the mean of its divisors is an integer number (17100720).

Almost surely, 21003424220 is an apocalyptic number.

1003424220 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 1003424220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1641669120).

1003424220 is an abundant number, since it is smaller than the sum of its proper divisors (2279914020).

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

1003424220 is a wasteful number, since it uses less digits than its factorization.

1003424220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 681 (or 673 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 1003424220 is about 31676.8720046661. The cubic root of 1003424220 is about 1001.1401063302.

Adding to 1003424220 its reverse (224243001), we get a palindrome (1227667221).

The spelling of 1003424220 in words is "one billion, three million, four hundred twenty-four thousand, two hundred twenty".