Search a number
-
+
1003341420 = 22325232961137
BaseRepresentation
bin111011110011011…
…100011001101100
32120220222000200100
4323303130121230
54023323411140
6243321031100
733602155434
oct7363343154
92526860610
101003341420
114753a6294
12240025490
1312cb3a063
149737b2c4
155d141530
hex3bcdc66c

1003341420 has 288 divisors, whose sum is σ = 3363534720. Its totient is φ = 241274880.

The previous prime is 1003341389. The next prime is 1003341467. The reversal of 1003341420 is 241433001.

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 = 1003341393 and 1003341402.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7323592 + ... + 7323728.

It is an arithmetic number, because the mean of its divisors is an integer number (11678940).

Almost surely, 21003341420 is an apocalyptic number.

1003341420 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 1003341420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1681767360).

1003341420 is an abundant number, since it is smaller than the sum of its proper divisors (2360193300).

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

1003341420 is a wasteful number, since it uses less digits than its factorization.

1003341420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 260 counting only the distinct ones).

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

The square root of 1003341420 is about 31675.5650304774. The cubic root of 1003341420 is about 1001.1125683992.

Adding to 1003341420 its reverse (241433001), we get a palindrome (1244774421).

The spelling of 1003341420 in words is "one billion, three million, three hundred forty-one thousand, four hundred twenty".