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34292112 = 2431921979
BaseRepresentation
bin1000001011010…
…0000110010000
32101112012221020
42002310012100
532234321422
63222555440
7564323001
oct202640620
971465836
1034292112
11183a2198
12b598b80
1371487ba
1447a91a8
15302595c
hex20b4190

34292112 has 60 divisors (see below), whose sum is σ = 93543120. Its totient is φ = 10823616.

The previous prime is 34292101. The next prime is 34292117. The reversal of 34292112 is 21129243.

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

It is not an unprimeable number, because it can be changed into a prime (34292117) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16339 + ... + 18317.

It is an arithmetic number, because the mean of its divisors is an integer number (1559052).

Almost surely, 234292112 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 34292112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46771560).

34292112 is an abundant number, since it is smaller than the sum of its proper divisors (59251008).

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

34292112 is a wasteful number, since it uses less digits than its factorization.

34292112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2028 (or 2003 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

The square root of 34292112 is about 5855.9467210691. The cubic root of 34292112 is about 324.8863097408.

The spelling of 34292112 in words is "thirty-four million, two hundred ninety-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 361 456 722 912 1083 1444 1979 2166 2888 3958 4332 5776 5937 7916 8664 11874 15832 17328 23748 31664 37601 47496 75202 94992 112803 150404 225606 300808 451212 601616 714419 902424 1428838 1804848 2143257 2857676 4286514 5715352 8573028 11430704 17146056 34292112