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34490340 = 22335232777
BaseRepresentation
bin1000001110010…
…0011111100100
32101220021212000
42003210133210
532312142330
63231125300
7566106633
oct203443744
971807760
1034490340
1118518115
12b673830
1371b7ab1
14481b51a
153064560
hex20e47e4

34490340 has 96 divisors (see below), whose sum is σ = 112008960. Its totient is φ = 8794368.

The previous prime is 34490303. The next prime is 34490353. The reversal of 34490340 is 4309443.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 11032 + ... + 13808.

It is an arithmetic number, because the mean of its divisors is an integer number (1166760).

Almost surely, 234490340 is an apocalyptic number.

34490340 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 34490340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56004480).

34490340 is an abundant number, since it is smaller than the sum of its proper divisors (77518620).

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

34490340 is a wasteful number, since it uses less digits than its factorization.

34490340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2818 (or 2810 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 34490340 is about 5872.8476908566. The cubic root of 34490340 is about 325.5111168664.

Adding to 34490340 its reverse (4309443), we get a palindrome (38799783).

The spelling of 34490340 in words is "thirty-four million, four hundred ninety thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 27 30 36 45 46 54 60 69 90 92 108 115 135 138 180 207 230 270 276 345 414 460 540 621 690 828 1035 1242 1380 2070 2484 2777 3105 4140 5554 6210 8331 11108 12420 13885 16662 24993 27770 33324 41655 49986 55540 63871 74979 83310 99972 124965 127742 149958 166620 191613 249930 255484 299916 319355 374895 383226 499860 574839 638710 749790 766452 958065 1149678 1277420 1499580 1724517 1916130 2299356 2874195 3449034 3832260 5748390 6898068 8622585 11496780 17245170 34490340