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348107220 = 22355411747
BaseRepresentation
bin10100101111111…
…011000111010100
3220021000200100000
4110233323013110
51203103412340
654313051300
711424601566
oct2457730724
9807020300
10348107220
1116955211a
12986b6b30
1357172806
1434337336
1520862d30
hex14bfb1d4

348107220 has 144 divisors (see below), whose sum is σ = 1122383808. Its totient is φ = 90512640.

The previous prime is 348107203. The next prime is 348107267. The reversal of 348107220 is 22701843.

It is a super-2 number, since 2×3481072202 = 242357273232256800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 198387 + ... + 200133.

It is an arithmetic number, because the mean of its divisors is an integer number (7794332).

Almost surely, 2348107220 is an apocalyptic number.

348107220 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 348107220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561191904).

348107220 is an abundant number, since it is smaller than the sum of its proper divisors (774276588).

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

348107220 is a wasteful number, since it uses less digits than its factorization.

348107220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1812 (or 1798 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 348107220 is about 18657.6316825046. The cubic root of 348107220 is about 703.4571966265.

The spelling of 348107220 in words is "three hundred forty-eight million, one hundred seven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 41 45 54 60 81 82 90 108 123 135 162 164 180 205 243 246 270 324 369 405 410 486 492 540 615 738 810 820 972 1107 1215 1230 1476 1620 1747 1845 2214 2430 2460 3321 3494 3690 4428 4860 5241 5535 6642 6988 7380 8735 9963 10482 11070 13284 15723 16605 17470 19926 20964 22140 26205 31446 33210 34940 39852 47169 49815 52410 62892 66420 71627 78615 94338 99630 104820 141507 143254 157230 188676 199260 214881 235845 283014 286508 314460 358135 424521 429762 471690 566028 644643 707535 716270 849042 859524 943380 1074405 1289286 1415070 1432540 1698084 1933929 2122605 2148810 2578572 2830140 3223215 3867858 4245210 4297620 5801787 6446430 7735716 8490420 9669645 11603574 12892860 17405361 19339290 23207148 29008935 34810722 38678580 58017870 69621444 87026805 116035740 174053610 348107220