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340301100 = 2235223149331
BaseRepresentation
bin10100010010001…
…001010100101100
3212201100002100110
4110102021110230
51144104113400
653433500020
711301340326
oct2422112454
9781302313
10340301100
11165100287
1295b71610
135566b6c9
14332a4616
151ed1ee50
hex1448952c

340301100 has 144 divisors (see below), whose sum is σ = 1037433600. Its totient is φ = 85958400.

The previous prime is 340301089. The next prime is 340301113. The reversal of 340301100 is 1103043.

It is a super-2 number, since 2×3403011002 = 231609677322420000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1027935 + ... + 1028265.

It is an arithmetic number, because the mean of its divisors is an integer number (7204400).

Almost surely, 2340301100 is an apocalyptic number.

340301100 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 340301100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518716800).

340301100 is an abundant number, since it is smaller than the sum of its proper divisors (697132500).

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

340301100 is a wasteful number, since it uses less digits than its factorization.

340301100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 340301100 is about 18447.2518278469. The cubic root of 340301100 is about 698.1591769496.

Adding to 340301100 its reverse (1103043), we get a palindrome (341404143).

The spelling of 340301100 in words is "three hundred forty million, three hundred one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 25 30 46 50 60 69 75 92 100 115 138 149 150 230 276 298 300 331 345 447 460 575 596 662 690 745 894 993 1150 1324 1380 1490 1655 1725 1788 1986 2235 2300 2980 3310 3427 3450 3725 3972 4470 4965 6620 6854 6900 7450 7613 8275 8940 9930 10281 11175 13708 14900 15226 16550 17135 19860 20562 22350 22839 24825 30452 33100 34270 38065 41124 44700 45678 49319 49650 51405 68540 76130 85675 91356 98638 99300 102810 114195 147957 152260 171350 190325 197276 205620 228390 246595 257025 295914 342700 380650 456780 493190 514050 570975 591828 739785 761300 986380 1028100 1134337 1141950 1232975 1479570 2268674 2283900 2465950 2959140 3403011 3698925 4537348 4931900 5671685 6806022 7397850 11343370 13612044 14795700 17015055 22686740 28358425 34030110 56716850 68060220 85075275 113433700 170150550 340301100