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1106035434 = 232741347617
BaseRepresentation
bin100000111101100…
…1100001011101010
32212002012102101100
41001323030023222
54231121113214
6301430102230
736260101050
oct10173141352
92762172340
101106035434
11518367879
1226a4aa976
131481b4b4a
14a6c701d0
1567179309
hex41ecc2ea

1106035434 has 96 divisors (see below), whose sum is σ = 2818198656. Its totient is φ = 306915840.

The previous prime is 1106035363. The next prime is 1106035459. The reversal of 1106035434 is 4345306011.

1106035434 is a `hidden beast` number, since 1 + 1 + 0 + 603 + 54 + 3 + 4 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1106035398 and 1106035407.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1792294 + ... + 1792910.

It is an arithmetic number, because the mean of its divisors is an integer number (29356236).

Almost surely, 21106035434 is an apocalyptic number.

1106035434 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1106035434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1409099328).

1106035434 is an abundant number, since it is smaller than the sum of its proper divisors (1712163222).

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

1106035434 is a wasteful number, since it uses less digits than its factorization.

1106035434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1020 (or 1017 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 1106035434 is about 33257.1110290717. Note that the first 3 decimals coincide. The cubic root of 1106035434 is about 1034.1646301450.

The spelling of 1106035434 in words is "one billion, one hundred six million, thirty-five thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 41 42 63 82 123 126 246 287 347 369 574 617 694 738 861 1041 1234 1722 1851 2082 2429 2583 3123 3702 4319 4858 5166 5553 6246 7287 8638 11106 12957 14227 14574 21861 25297 25914 28454 38871 42681 43722 50594 75891 77742 85362 99589 128043 151782 177079 199178 214099 227673 256086 298767 354158 428198 455346 531237 597534 642297 896301 1062474 1284594 1498693 1593711 1792602 1926891 2997386 3187422 3853782 4496079 8778059 8992158 13488237 17556118 26334177 26976474 52668354 61446413 79002531 122892826 158005062 184339239 368678478 553017717 1106035434