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341034120 = 233257219333
BaseRepresentation
bin10100010100111…
…100010010001000
3212202201022212100
4110110330102020
51144301042440
653501313400
711310512400
oct2424742210
9782638770
10341034120
11165560a89
1296265860
135586724b
1433415800
151ee17230
hex1453c488

341034120 has 144 divisors (see below), whose sum is σ = 1289384460. Its totient is φ = 77946624.

The previous prime is 341034107. The next prime is 341034121. The reversal of 341034120 is 21430143.

It can be written as a sum of positive squares in 2 ways, for example, as 327682404 + 13351716 = 18102^2 + 3654^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 341034093 and 341034102.

It is not an unprimeable number, because it can be changed into a prime (341034121) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 7974 + ... + 27306.

Almost surely, 2341034120 is an apocalyptic number.

341034120 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 341034120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (644692230).

341034120 is an abundant number, since it is smaller than the sum of its proper divisors (948350340).

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

341034120 is a wasteful number, since it uses less digits than its factorization.

341034120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19364 (or 19350 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 341034120 is about 18467.1091403067. The cubic root of 341034120 is about 698.6601035567.

Adding to 341034120 its reverse (21430143), we get a palindrome (362464263).

The spelling of 341034120 in words is "three hundred forty-one million, thirty-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 49 56 60 63 70 72 84 90 98 105 120 126 140 147 168 180 196 210 245 252 280 294 315 360 392 420 441 490 504 588 630 735 840 882 980 1176 1260 1470 1764 1960 2205 2520 2940 3528 4410 5880 8820 17640 19333 38666 57999 77332 96665 115998 135331 154664 173997 193330 231996 270662 289995 347994 386660 405993 463992 541324 579990 676655 695988 773320 811986 869985 947317 1082648 1159980 1217979 1353310 1391976 1623972 1739970 1894634 2029965 2319960 2435958 2706620 2841951 3247944 3479940 3789268 4059930 4736585 4871916 5413240 5683902 6089895 6959880 7578536 8119860 8525853 9473170 9743832 11367804 12179790 14209755 16239720 17051706 18946340 22735608 24359580 28419510 34103412 37892680 42629265 48719160 56839020 68206824 85258530 113678040 170517060 341034120