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1005243434 = 213273131311
BaseRepresentation
bin111011111010101…
…100110000101010
32121001112122202022
4323322230300222
54024320242214
6243425504442
733624266606
oct7372546052
92531478668
101005243434
114764852a8
122407a2122
13130354a00
1497714506
155d3b9d8e
hex3beacc2a

1005243434 has 48 divisors (see below), whose sum is σ = 1673141184. Its totient is φ = 452649600.

The previous prime is 1005243433. The next prime is 1005243509. The reversal of 1005243434 is 4343425001.

It is a super-2 number, since 2×10052434342 = 2021028723200224712, which contains 22 as substring.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (1005243433) 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 23 ways as a sum of consecutive naturals, for example, 3232139 + ... + 3232449.

It is an arithmetic number, because the mean of its divisors is an integer number (34857108).

Almost surely, 21005243434 is an apocalyptic number.

1005243434 is a deficient number, since it is larger than the sum of its proper divisors (667897750).

1005243434 is a wasteful number, since it uses less digits than its factorization.

1005243434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 26.

The square root of 1005243434 is about 31705.5741786835. The cubic root of 1005243434 is about 1001.7447653567.

Adding to 1005243434 its reverse (4343425001), we get a palindrome (5348668435).

The spelling of 1005243434 in words is "one billion, five million, two hundred forty-three thousand, four hundred thirty-four".

Divisors: 1 2 13 26 73 131 146 169 262 311 338 622 949 1703 1898 3406 4043 8086 9563 12337 19126 22139 22703 24674 40741 44278 45406 52559 81482 105118 124319 248638 295139 529633 590278 1059266 1616147 2974093 3232294 3836807 5948186 6885229 7673614 13770458 38663209 77326418 502621717 1005243434