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34100112 = 2435912041
BaseRepresentation
bin1000001000010…
…1001110010000
32101011110120010
42002011032100
532212200422
63214514520
7562563144
oct202051620
971143503
1034100112
1118280a12
12b505a40
1370ac2a7
144759224
152ed8b0c
hex2085390

34100112 has 40 divisors (see below), whose sum is σ = 89592480. Its totient is φ = 11173120.

The previous prime is 34100111. The next prime is 34100137. The reversal of 34100112 is 21100143.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (34100111) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3189 + ... + 8852.

It is an arithmetic number, because the mean of its divisors is an integer number (2239812).

Almost surely, 234100112 is an apocalyptic number.

It is an amenable number.

34100112 is an abundant number, since it is smaller than the sum of its proper divisors (55492368).

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

34100112 is a wasteful number, since it uses less digits than its factorization.

34100112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12111 (or 12105 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 34100112 is about 5839.5301180831. The cubic root of 34100112 is about 324.2788332802.

Adding to 34100112 its reverse (21100143), we get a palindrome (55200255).

The spelling of 34100112 in words is "thirty-four million, one hundred thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 59 118 177 236 354 472 708 944 1416 2832 12041 24082 36123 48164 72246 96328 144492 192656 288984 577968 710419 1420838 2131257 2841676 4262514 5683352 8525028 11366704 17050056 34100112