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4003300242 = 232701317269
BaseRepresentation
bin1110111010011101…
…1000001110010010
3101022222220201112100
43232213120032102
531144321101432
61501124341230
7201130330164
oct35647301622
911288821470
104003300242
1117748387a7
12938844816
134ba508916
1429d972934
151866c807c
hexee9d8392

4003300242 has 24 divisors (see below), whose sum is σ = 8686218060. Its totient is φ = 1332525600.

The previous prime is 4003300241. The next prime is 4003300271. The reversal of 4003300242 is 2420033004.

It can be written as a sum of positive squares in 2 ways, for example, as 3678543801 + 324756441 = 60651^2 + 18021^2 .

It is a super-3 number, since 3×40033002423 (a number of 30 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (4003300241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 146017 + ... + 171252.

Almost surely, 24003300242 is an apocalyptic number.

4003300242 is an abundant number, since it is smaller than the sum of its proper divisors (4682917818).

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

4003300242 is a wasteful number, since it uses less digits than its factorization.

4003300242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317978 (or 317975 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 4003300242 is about 63271.6385278586. The cubic root of 4003300242 is about 1587.8374992603.

Adding to 4003300242 its reverse (2420033004), we get a palindrome (6423333246).

The spelling of 4003300242 in words is "four billion, three million, three hundred thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 701 1402 2103 4206 6309 12618 317269 634538 951807 1903614 2855421 5710842 222405569 444811138 667216707 1334433414 2001650121 4003300242