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34491060 = 22325892153
BaseRepresentation
bin1000001110010…
…0101010110100
32101220022211200
42003210222310
532312203220
63231132500
7566112012
oct203445264
971808750
1034491060
111851870a
12b674130
1371b8216
14481b8b2
153064890
hex20e4ab4

34491060 has 72 divisors (see below), whose sum is σ = 105847560. Its totient is φ = 9090048.

The previous prime is 34491059. The next prime is 34491071. The reversal of 34491060 is 6019443.

It can be written as a sum of positive squares in 4 ways, for example, as 338724 + 34152336 = 582^2 + 5844^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14944 + ... + 17096.

It is an arithmetic number, because the mean of its divisors is an integer number (1470105).

Almost surely, 234491060 is an apocalyptic number.

34491060 is a gapful number since it is divisible by the number (30) 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 34491060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52923780).

34491060 is an abundant number, since it is smaller than the sum of its proper divisors (71356500).

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

34491060 is a wasteful number, since it uses less digits than its factorization.

34491060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2257 (or 2252 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 34491060 is about 5872.9089895894. The cubic root of 34491060 is about 325.5133819100.

The spelling of 34491060 in words is "thirty-four million, four hundred ninety-one thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 89 90 178 180 267 356 445 534 801 890 1068 1335 1602 1780 2153 2670 3204 4005 4306 5340 6459 8010 8612 10765 12918 16020 19377 21530 25836 32295 38754 43060 64590 77508 96885 129180 191617 193770 383234 387540 574851 766468 958085 1149702 1724553 1916170 2299404 2874255 3449106 3832340 5748510 6898212 8622765 11497020 17245530 34491060