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34420230 = 23251323173
BaseRepresentation
bin1000001101001…
…1011000000110
32101202201200100
42003103120012
532302421410
63225424530
7565365345
oct203233006
971681610
1034420230
111847a479
12b63b146
137191c00
1447ddb5c
15304d8c0
hex20d3606

34420230 has 144 divisors (see below), whose sum is σ = 101402496. Its totient is φ = 8087040.

The previous prime is 34420193. The next prime is 34420247. The reversal of 34420230 is 3202443.

It is a super-3 number, since 3×344202303 (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 471474 + ... + 471546.

It is an arithmetic number, because the mean of its divisors is an integer number (704184).

Almost surely, 234420230 is an apocalyptic number.

34420230 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 34420230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50701248).

34420230 is an abundant number, since it is smaller than the sum of its proper divisors (66982266).

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

34420230 is a wasteful number, since it uses less digits than its factorization.

34420230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 34420230 is about 5866.8756591562. The cubic root of 34420230 is about 325.2904070931.

Adding to 34420230 its reverse (3202443), we get a palindrome (37622673).

The spelling of 34420230 in words is "thirty-four million, four hundred twenty thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 31 39 45 62 65 73 78 90 93 117 130 146 155 169 186 195 219 234 279 310 338 365 390 403 438 465 507 558 585 657 730 806 845 930 949 1014 1095 1170 1209 1314 1395 1521 1690 1898 2015 2190 2263 2418 2535 2790 2847 3042 3285 3627 4030 4526 4745 5070 5239 5694 6045 6570 6789 7254 7605 8541 9490 10478 11315 12090 12337 13578 14235 15210 15717 17082 18135 20367 22630 24674 26195 28470 29419 31434 33945 36270 37011 40734 42705 47151 52390 58838 61685 67890 74022 78585 85410 88257 94302 101835 111033 123370 147095 157170 176514 185055 203670 222066 235755 264771 294190 370110 382447 441285 471510 529542 555165 764894 882570 1110330 1147341 1323855 1912235 2294682 2647710 3442023 3824470 5736705 6884046 11473410 17210115 34420230