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34348890 = 2352367743
BaseRepresentation
bin1000001100000…
…1111101011010
32101122002211010
42003001331122
532243131030
63224114350
7564650352
oct203017532
971562733
1034348890
1118430914
12b6059b6
1371685b4
1447c1b62
1530376b0
hex20c1f5a

34348890 has 64 divisors (see below), whose sum is σ = 87422976. Its totient is φ = 8619072.

The previous prime is 34348889. The next prime is 34348921. The reversal of 34348890 is 9884343.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45859 + ... + 46601.

It is an arithmetic number, because the mean of its divisors is an integer number (1365984).

Almost surely, 234348890 is an apocalyptic number.

34348890 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34348890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43711488).

34348890 is an abundant number, since it is smaller than the sum of its proper divisors (53074086).

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

34348890 is a wasteful number, since it uses less digits than its factorization.

34348890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 843.

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 34348890 is about 5860.7926085129. The cubic root of 34348890 is about 325.0655173633.

The spelling of 34348890 in words is "thirty-four million, three hundred forty-eight thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 10 15 23 30 46 67 69 115 134 138 201 230 335 345 402 670 690 743 1005 1486 1541 2010 2229 3082 3715 4458 4623 7430 7705 9246 11145 15410 17089 22290 23115 34178 46230 49781 51267 85445 99562 102534 149343 170890 248905 256335 298686 497810 512670 746715 1144963 1493430 2289926 3434889 5724815 6869778 11449630 17174445 34348890