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1005345341 = 711132233359
BaseRepresentation
bin111011111011000…
…101101000111101
32121001201211112122
4323323011220331
54024332022331
6243432012325
733625202660
oct7373055075
92531654478
101005345341
11476544920
122408310a5
1313038c200
149773d6d7
155d3da17b
hex3bec5a3d

1005345341 has 48 divisors (see below), whose sum is σ = 1416683520. Its totient is φ = 691479360.

The previous prime is 1005345329. The next prime is 1005345343. The reversal of 1005345341 is 1435435001.

It is a de Polignac number, because none of the positive numbers 2k-1005345341 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1005345341.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005345343) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 297620 + ... + 300978.

It is an arithmetic number, because the mean of its divisors is an integer number (29514240).

Almost surely, 21005345341 is an apocalyptic number.

1005345341 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1005345341 is a deficient number, since it is larger than the sum of its proper divisors (411338179).

1005345341 is a wasteful number, since it uses less digits than its factorization.

1005345341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3426 (or 3413 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

The square root of 1005345341 is about 31707.1812212943. The cubic root of 1005345341 is about 1001.7786149865.

The spelling of 1005345341 in words is "one billion, five million, three hundred forty-five thousand, three hundred forty-one".

Divisors: 1 7 11 13 23 77 91 143 161 169 253 299 1001 1183 1771 1859 2093 3289 3359 3887 13013 23023 23513 27209 36949 42757 43667 77257 258643 299299 305669 480337 540799 567671 849827 1004341 3362359 3973697 5948789 6244381 7030387 11047751 13056433 43710667 77334257 91395031 143620763 1005345341