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348100740 = 223451316529
BaseRepresentation
bin10100101111111…
…001100010000100
3220021000100110000
4110233321202010
51203103210430
654313001300
711424543651
oct2457714204
9807010400
10348100740
11169548269
12986b3230
135716c890
1434334c28
1520860e60
hex14bf9884

348100740 has 120 divisors (see below), whose sum is σ = 1176076440. Its totient is φ = 85681152.

The previous prime is 348100733. The next prime is 348100741. The reversal of 348100740 is 47001843.

It can be written as a sum of positive squares in 4 ways, for example, as 43877376 + 304223364 = 6624^2 + 17442^2 .

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

It is not an unprimeable number, because it can be changed into a prime (348100741) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12796 + ... + 29324.

It is an arithmetic number, because the mean of its divisors is an integer number (9800637).

Almost surely, 2348100740 is an apocalyptic number.

348100740 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 348100740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588038220).

348100740 is an abundant number, since it is smaller than the sum of its proper divisors (827975700).

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

348100740 is a wasteful number, since it uses less digits than its factorization.

348100740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16563 (or 16552 counting only the distinct ones).

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

The square root of 348100740 is about 18657.4580262157. The cubic root of 348100740 is about 703.4528316582.

The spelling of 348100740 in words is "three hundred forty-eight million, one hundred thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 81 90 108 117 130 135 156 162 180 195 234 260 270 324 351 390 405 468 540 585 702 780 810 1053 1170 1404 1620 1755 2106 2340 3510 4212 5265 7020 10530 16529 21060 33058 49587 66116 82645 99174 148761 165290 198348 214877 247935 297522 330580 429754 446283 495870 595044 644631 743805 859508 892566 991740 1074385 1289262 1338849 1487610 1785132 1933893 2148770 2231415 2578524 2677698 2975220 3223155 3867786 4297540 4462830 5355396 5801679 6446310 6694245 7735572 8925660 9669465 11603358 12892620 13388490 17405037 19338930 23206716 26776980 29008395 34810074 38677860 58016790 69620148 87025185 116033580 174050370 348100740