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348891900 = 2235271031613
BaseRepresentation
bin10100110010111…
…010101011111100
3220022111112201020
4110302322223330
51203304020100
654341544140
711434350360
oct2462725374
9808445636
10348891900
11169a38715
1298a15050
1357388a16
143449d2a0
152096a5a0
hex14cbaafc

348891900 has 144 divisors (see below), whose sum is σ = 1165592064. Its totient is φ = 78923520.

The previous prime is 348891871. The next prime is 348891923. The reversal of 348891900 is 9198843.

It is a super-2 number, since 2×3488919002 = 243451115771220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 215494 + ... + 217106.

Almost surely, 2348891900 is an apocalyptic number.

348891900 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 348891900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582796032).

348891900 is an abundant number, since it is smaller than the sum of its proper divisors (816700164).

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

348891900 is a wasteful number, since it uses less digits than its factorization.

348891900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1740 (or 1733 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The square root of 348891900 is about 18678.6482380284. The cubic root of 348891900 is about 703.9853620192.

The spelling of 348891900 in words is "three hundred forty-eight million, eight hundred ninety-one thousand, nine hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 103 105 140 150 175 206 210 300 309 350 412 420 515 525 618 700 721 1030 1050 1236 1442 1545 1613 2060 2100 2163 2575 2884 3090 3226 3605 4326 4839 5150 6180 6452 7210 7725 8065 8652 9678 10300 10815 11291 14420 15450 16130 18025 19356 21630 22582 24195 30900 32260 33873 36050 40325 43260 45164 48390 54075 56455 67746 72100 80650 96780 108150 112910 120975 135492 161300 166139 169365 216300 225820 241950 282275 332278 338730 483900 498417 564550 664556 677460 830695 846825 996834 1129100 1162973 1661390 1693650 1993668 2325946 2492085 3322780 3387300 3488919 4153475 4651892 4984170 5814865 6977838 8306950 9968340 11629730 12460425 13955676 16613900 17444595 23259460 24920850 29074325 34889190 49841700 58148650 69778380 87222975 116297300 174445950 348891900