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1105345032 = 2331117246289
BaseRepresentation
bin100000111100010…
…0011101000001000
32212000220100022220
41001320203220020
54230432020112
6301403214040
736251164161
oct10170435010
92760810286
101105345032
11517a360a0
1226a217320
1314800281c
14a6b30768
156708e98c
hex41e23a08

1105345032 has 64 divisors (see below), whose sum is σ = 3191918400. Its totient is φ = 315248640.

The previous prime is 1105345019. The next prime is 1105345039. The reversal of 1105345032 is 2305435011.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 1105344993 and 1105345011.

It is not an unprimeable number, because it can be changed into a prime (1105345039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 118657 + ... + 127632.

It is an arithmetic number, because the mean of its divisors is an integer number (49873725).

Almost surely, 21105345032 is an apocalyptic number.

1105345032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1105345032 is an abundant number, since it is smaller than the sum of its proper divisors (2086573368).

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

1105345032 is a wasteful number, since it uses less digits than its factorization.

1105345032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246326 (or 246322 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 1105345032 is about 33246.7296436807. The cubic root of 1105345032 is about 1033.9494055933.

The spelling of 1105345032 in words is "one billion, one hundred five million, three hundred forty-five thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 17 22 24 33 34 44 51 66 68 88 102 132 136 187 204 264 374 408 561 748 1122 1496 2244 4488 246289 492578 738867 985156 1477734 1970312 2709179 2955468 4186913 5418358 5910936 8127537 8373826 10836716 12560739 16255074 16747652 21673432 25121478 32510148 33495304 46056043 50242956 65020296 92112086 100485912 138168129 184224172 276336258 368448344 552672516 1105345032