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1005356341 = 11378329761
BaseRepresentation
bin111011111011001…
…000010100110101
32121001202101122001
4323323020110311
54024332400331
6243432135301
733625250023
oct7373102465
92531671561
101005356341
11476552110
12240837531
13130394212
1497743713
155d3dd561
hex3bec8535

1005356341 has 16 divisors (see below), whose sum is σ = 1140003648. Its totient is φ = 878515200.

The previous prime is 1005356333. The next prime is 1005356351. The reversal of 1005356341 is 1436535001.

It is a cyclic number.

It is not a de Polignac number, because 1005356341 - 23 = 1005356333 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005356351) 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 15 ways as a sum of consecutive naturals, for example, 18901 + ... + 48661.

It is an arithmetic number, because the mean of its divisors is an integer number (71250228).

Almost surely, 21005356341 is an apocalyptic number.

1005356341 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1005356341 is a deficient number, since it is larger than the sum of its proper divisors (134647307).

1005356341 is a wasteful number, since it uses less digits than its factorization.

1005356341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29892.

The product of its (nonzero) digits is 5400, while the sum is 28.

The square root of 1005356341 is about 31707.3546831015. The cubic root of 1005356341 is about 1001.7822686314.

The spelling of 1005356341 in words is "one billion, five million, three hundred fifty-six thousand, three hundred forty-one".

Divisors: 1 11 37 83 407 913 3071 29761 33781 327371 1101157 2470163 12112727 27171793 91396031 1005356341