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1003431044 = 227115575849
BaseRepresentation
bin111011110011110…
…010010010000100
32120221010120121202
4323303302102010
54023334243134
6243323002032
733603010640
oct7363622204
92527116552
101003431044
11475457660
12240069318
1312cb6baa5
14973a1c20
155d15cd7e
hex3bcf2484

1003431044 has 48 divisors (see below), whose sum is σ = 2193609600. Its totient is φ = 390178560.

The previous prime is 1003431031. The next prime is 1003431053. The reversal of 1003431044 is 4401343001.

It is a happy number.

1003431044 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 168632 + ... + 174480.

It is an arithmetic number, because the mean of its divisors is an integer number (45700200).

Almost surely, 21003431044 is an apocalyptic number.

1003431044 is a gapful number since it is divisible by the number (14) 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 1003431044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1096804800).

1003431044 is an abundant number, since it is smaller than the sum of its proper divisors (1190178556).

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

1003431044 is a wasteful number, since it uses less digits than its factorization.

1003431044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6428 (or 6426 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 1003431044 is about 31676.9797171384. The cubic root of 1003431044 is about 1001.1423758139.

Adding to 1003431044 its reverse (4401343001), we get a palindrome (5404774045).

The spelling of 1003431044 in words is "one billion, three million, four hundred thirty-one thousand, forty-four".

Divisors: 1 2 4 7 11 14 22 28 44 77 154 308 557 1114 2228 3899 5849 6127 7798 11698 12254 15596 23396 24508 40943 42889 64339 81886 85778 128678 163772 171556 257356 450373 900746 1801492 3257893 6515786 13031572 22805251 35836823 45610502 71673646 91221004 143347292 250857761 501715522 1003431044