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34421072 = 247595209
BaseRepresentation
bin1000001101001…
…1100101010000
32101202202211112
42003103211100
532302433242
63225432452
7565400660
oct203234520
971682745
1034421072
1118480074
12b63b728
1371923ca
1448001a0
15304dc82
hex20d3950

34421072 has 40 divisors (see below), whose sum is σ = 77524800. Its totient is φ = 14499072.

The previous prime is 34421071. The next prime is 34421077. The reversal of 34421072 is 27012443.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34421071) 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, 4004 + ... + 9212.

It is an arithmetic number, because the mean of its divisors is an integer number (1938120).

Almost surely, 234421072 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 34421072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38762400).

34421072 is an abundant number, since it is smaller than the sum of its proper divisors (43103728).

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

34421072 is a wasteful number, since it uses less digits than its factorization.

34421072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5283 (or 5277 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 23.

The square root of 34421072 is about 5866.9474175247. The cubic root of 34421072 is about 325.2930595283.

The spelling of 34421072 in words is "thirty-four million, four hundred twenty-one thousand, seventy-two".

Divisors: 1 2 4 7 8 14 16 28 56 59 112 118 236 413 472 826 944 1652 3304 5209 6608 10418 20836 36463 41672 72926 83344 145852 291704 307331 583408 614662 1229324 2151317 2458648 4302634 4917296 8605268 17210536 34421072