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1004313040 = 24541306193
BaseRepresentation
bin111011110111001…
…001100111010000
32120222210101111021
4323313021213100
54024101004130
6243353525224
733613343233
oct7367114720
92528711437
101004313040
114759aa285
12240413814
131300ba393
149755141a
155d28437a
hex3bdc99d0

1004313040 has 40 divisors (see below), whose sum is σ = 2391987528. Its totient is φ = 391925760.

The previous prime is 1004313019. The next prime is 1004313043. The reversal of 1004313040 is 403134001.

It can be written as a sum of positive squares in 4 ways, for example, as 27625536 + 976687504 = 5256^2 + 31252^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1004313043) 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 7 ways as a sum of consecutive naturals, for example, 149817 + ... + 156376.

Almost surely, 21004313040 is an apocalyptic number.

1004313040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1004313040 is an abundant number, since it is smaller than the sum of its proper divisors (1387674488).

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

1004313040 is a wasteful number, since it uses less digits than its factorization.

1004313040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306247 (or 306241 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 1004313040 is about 31690.8983779255. The cubic root of 1004313040 is about 1001.4356180146.

Adding to 1004313040 its reverse (403134001), we get a palindrome (1407447041).

The spelling of 1004313040 in words is "one billion, four million, three hundred thirteen thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 41 80 82 164 205 328 410 656 820 1640 3280 306193 612386 1224772 1530965 2449544 3061930 4899088 6123860 12247720 12553913 24495440 25107826 50215652 62769565 100431304 125539130 200862608 251078260 502156520 1004313040