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34169072 = 2472411063
BaseRepresentation
bin1000001001011…
…0000011110000
32101021222011012
42002112003300
532221402242
63220210052
7563301200
oct202260360
971258135
1034169072
1118318803
12b539928
1371047b2
144776400
152eee282
hex20960f0

34169072 has 60 divisors (see below), whose sum is σ = 78963696. Its totient is φ = 14273280.

The previous prime is 34169071. The next prime is 34169081. The reversal of 34169072 is 27096143.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34169071) 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, 31613 + ... + 32675.

Almost surely, 234169072 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 34169072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39481848).

34169072 is an abundant number, since it is smaller than the sum of its proper divisors (44794624).

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

34169072 is a wasteful number, since it uses less digits than its factorization.

34169072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1126 (or 1113 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 32.

The square root of 34169072 is about 5845.4317205832. The cubic root of 34169072 is about 324.4972803730.

The spelling of 34169072 in words is "thirty-four million, one hundred sixty-nine thousand, seventy-two".

Divisors: 1 2 4 7 8 14 16 28 41 49 56 82 98 112 164 196 287 328 392 574 656 784 1063 1148 2009 2126 2296 4018 4252 4592 7441 8036 8504 14882 16072 17008 29764 32144 43583 52087 59528 87166 104174 119056 174332 208348 305081 348664 416696 610162 697328 833392 1220324 2135567 2440648 4271134 4881296 8542268 17084536 34169072