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1005004340 = 225127395671
BaseRepresentation
bin111011111001110…
…010011000110100
32121001002111202222
4323321302120310
54024240114330
6243420421512
733622252544
oct7371623064
92531074688
101005004340
114763316aa
122406a7898
1313029cc32
1497691324
155d36e0e5
hex3be72634

1005004340 has 24 divisors (see below), whose sum is σ = 2127132672. Its totient is φ = 398835360.

The previous prime is 1005004331. The next prime is 1005004349. The reversal of 1005004340 is 434005001.

It is an interprime number because it is at equal distance from previous prime (1005004331) and next prime (1005004349).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005004349) 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, 195296 + ... + 200375.

It is an arithmetic number, because the mean of its divisors is an integer number (88630528).

Almost surely, 21005004340 is an apocalyptic number.

1005004340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1005004340 is an abundant number, since it is smaller than the sum of its proper divisors (1122128332).

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

1005004340 is a wasteful number, since it uses less digits than its factorization.

1005004340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395807 (or 395805 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 1005004340 is about 31701.8034187331. The cubic root of 1005004340 is about 1001.6653384417.

Adding to 1005004340 its reverse (434005001), we get a palindrome (1439009341).

The spelling of 1005004340 in words is "one billion, five million, four thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 127 254 508 635 1270 2540 395671 791342 1582684 1978355 3956710 7913420 50250217 100500434 201000868 251251085 502502170 1005004340