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34310220 = 22357151541
BaseRepresentation
bin1000001011100…
…0100001001100
32101120010202220
42002320201030
532240411340
63223215340
7564426540
oct202704114
971503686
1034310220
111840485a
12b5a7550
137153b09
1447b1a20
15302aed0
hex20b884c

34310220 has 96 divisors (see below), whose sum is σ = 110724096. Its totient is φ = 7776000.

The previous prime is 34310209. The next prime is 34310249. The reversal of 34310220 is 2201343.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 34310220.

It is a congruent number.

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, 63150 + ... + 63690.

It is an arithmetic number, because the mean of its divisors is an integer number (1153376).

Almost surely, 234310220 is an apocalyptic number.

34310220 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 34310220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55362048).

34310220 is an abundant number, since it is smaller than the sum of its proper divisors (76413876).

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

34310220 is a wasteful number, since it uses less digits than its factorization.

34310220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 711 (or 709 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 34310220 is about 5857.4926376394. The cubic root of 34310220 is about 324.9434852422.

Adding to 34310220 its reverse (2201343), we get a palindrome (36511563).

The spelling of 34310220 in words is "thirty-four million, three hundred ten thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 151 210 302 420 453 541 604 755 906 1057 1082 1510 1623 1812 2114 2164 2265 2705 3020 3171 3246 3787 4228 4530 5285 5410 6342 6492 7574 8115 9060 10570 10820 11361 12684 15148 15855 16230 18935 21140 22722 31710 32460 37870 45444 56805 63420 75740 81691 113610 163382 227220 245073 326764 408455 490146 571837 816910 980292 1143674 1225365 1633820 1715511 2287348 2450730 2859185 3431022 4901460 5718370 6862044 8577555 11436740 17155110 34310220