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1004430042 = 2327115971173
BaseRepresentation
bin111011110111100…
…110001011011010
32121000000022222200
4323313212023122
54024113230132
6243400231030
733614341320
oct7367461332
92530008880
101004430042
11475a7a180
1224046b476
1313012b705
1497581d10
155d2a8d7c
hex3bde62da

1004430042 has 192 divisors, whose sum is σ = 2814289920. Its totient is φ = 251395200.

The previous prime is 1004430019. The next prime is 1004430043. The reversal of 1004430042 is 2400344001.

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 = 1004429997 and 1004430024.

It is not an unprimeable number, because it can be changed into a prime (1004430043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5805868 + ... + 5806040.

It is an arithmetic number, because the mean of its divisors is an integer number (14657760).

Almost surely, 21004430042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1004430042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1407144960).

1004430042 is an abundant number, since it is smaller than the sum of its proper divisors (1809859878).

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

1004430042 is a wasteful number, since it uses less digits than its factorization.

1004430042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 326 counting only the distinct ones).

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

The square root of 1004430042 is about 31692.7443115928. The cubic root of 1004430042 is about 1001.4745054318.

Adding to 1004430042 its reverse (2400344001), we get a palindrome (3404774043).

The spelling of 1004430042 in words is "one billion, four million, four hundred thirty thousand, forty-two".