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1003940084 = 227311156613
BaseRepresentation
bin111011110101101…
…110100011110100
32120222002102220002
4323311232203310
54024002040314
6243341530432
733610231010
oct7365564364
92528072802
101003940084
11475775054
12240273a18
1312ccb96b4
1497495540
155d20dade
hex3bd6e8f4

1003940084 has 24 divisors (see below), whose sum is σ = 2072652288. Its totient is φ = 416380320.

The previous prime is 1003940059. The next prime is 1003940099. The reversal of 1003940084 is 4800493001.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 577439 + ... + 579174.

It is an arithmetic number, because the mean of its divisors is an integer number (86360512).

Almost surely, 21003940084 is an apocalyptic number.

1003940084 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1003940084 is an abundant number, since it is smaller than the sum of its proper divisors (1068712204).

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

1003940084 is a wasteful number, since it uses less digits than its factorization.

1003940084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1156655 (or 1156653 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 1003940084 is about 31685.0135553072. The cubic root of 1003940084 is about 1001.3116401812.

The spelling of 1003940084 in words is "one billion, three million, nine hundred forty thousand, eighty-four".

Divisors: 1 2 4 7 14 28 31 62 124 217 434 868 1156613 2313226 4626452 8096291 16192582 32385164 35855003 71710006 143420012 250985021 501970042 1003940084