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34034312 = 2313893677
BaseRepresentation
bin1000000111010…
…1001010001000
32101001010022002
42001311022020
532203044222
63213250132
7562200254
oct201651210
971033262
1034034312
1118236534
12b493948
137088360
14473d264
152ec4392
hex2075288

34034312 has 32 divisors (see below), whose sum is σ = 69514200. Its totient is φ = 15527424.

The previous prime is 34034309. The next prime is 34034333. The reversal of 34034312 is 21343043.

It can be written as a sum of positive squares in 4 ways, for example, as 23367556 + 10666756 = 4834^2 + 3266^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7418 + ... + 11094.

Almost surely, 234034312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34034312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34757100).

34034312 is an abundant number, since it is smaller than the sum of its proper divisors (35479888).

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

34034312 is a wasteful number, since it uses less digits than its factorization.

34034312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3785 (or 3781 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 34034312 is about 5833.8933826391. The cubic root of 34034312 is about 324.0701214891.

Adding to 34034312 its reverse (21343043), we get a palindrome (55377355).

The spelling of 34034312 in words is "thirty-four million, thirty-four thousand, three hundred twelve".

Divisors: 1 2 4 8 13 26 52 89 104 178 356 712 1157 2314 3677 4628 7354 9256 14708 29416 47801 95602 191204 327253 382408 654506 1309012 2618024 4254289 8508578 17017156 34034312