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34554112 = 2843273
BaseRepresentation
bin1000001111010…
…0000100000000
32102000112022221
42003310010000
532321212422
63232340424
7566463565
oct203640400
972015287
1034554112
111856101a
12b6a4714
13720ab28
14483686c
1530783c7
hex20f4100

34554112 has 54 divisors (see below), whose sum is σ = 71581902. Its totient is φ = 16644096.

The previous prime is 34554097. The next prime is 34554127. The reversal of 34554112 is 21145543.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (34554097) and next prime (34554127).

It can be written as a sum of positive squares in only one way, i.e., 30294016 + 4260096 = 5504^2 + 2064^2 .

It is a super-2 number, since 2×345541122 = 2387973312217088, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 473308 + ... + 473380.

Almost surely, 234554112 is an apocalyptic number.

34554112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34554112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35790951).

34554112 is an abundant number, since it is smaller than the sum of its proper divisors (37027790).

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

34554112 is an frugal number, since it uses more digits than its factorization.

34554112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 118 counting only the distinct ones).

The product of its digits is 2400, while the sum is 25.

The square root of 34554112 is about 5878.2745767785. The cubic root of 34554112 is about 325.7116146874.

Adding to 34554112 its reverse (21145543), we get a palindrome (55699655).

The spelling of 34554112 in words is "thirty-four million, five hundred fifty-four thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 43 64 73 86 128 146 172 256 292 344 584 688 1168 1376 1849 2336 2752 3139 3698 4672 5504 6278 7396 9344 11008 12556 14792 18688 25112 29584 50224 59168 100448 118336 134977 200896 236672 269954 401792 473344 539908 803584 1079816 2159632 4319264 8638528 17277056 34554112