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334300120 = 235711311349
BaseRepresentation
bin10011111011010…
…000001111011000
3212022001012112221
4103323100033120
51141040100440
653101113424
711166334630
oct2373201730
9768035487
10334300120
111617816a0
1293b58874
135434a12b
14325816c0
151e536d4a
hex13ed03d8

334300120 has 128 divisors (see below), whose sum is σ = 943488000. Its totient is φ = 103564800.

The previous prime is 334300111. The next prime is 334300129. The reversal of 334300120 is 21003433.

It is an interprime number because it is at equal distance from previous prime (334300111) and next prime (334300129).

It is a super-2 number, since 2×3343001202 = 223513140464028800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 334300094 and 334300103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (334300129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 957706 + ... + 958054.

It is an arithmetic number, because the mean of its divisors is an integer number (7371000).

Almost surely, 2334300120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 334300120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471744000).

334300120 is an abundant number, since it is smaller than the sum of its proper divisors (609187880).

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

334300120 is a wasteful number, since it uses less digits than its factorization.

334300120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 689 (or 685 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 334300120 is about 18283.8759567002. The cubic root of 334300120 is about 694.0309597596.

Adding to 334300120 its reverse (21003433), we get a palindrome (355303553).

The spelling of 334300120 in words is "three hundred thirty-four million, three hundred thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 140 154 220 280 308 311 349 385 440 616 622 698 770 1244 1396 1540 1555 1745 2177 2443 2488 2792 3080 3110 3421 3490 3839 4354 4886 6220 6842 6980 7678 8708 9772 10885 12215 12440 13684 13960 15356 17105 17416 19195 19544 21770 23947 24430 26873 27368 30712 34210 38390 43540 47894 48860 53746 68420 76780 87080 95788 97720 107492 108539 119735 134365 136840 153560 191576 214984 217078 239470 268730 434156 478940 537460 542695 759773 868312 957880 1074920 1085390 1193929 1519546 2170780 2387858 3039092 3798865 4341560 4775716 5969645 6078184 7597730 8357503 9551432 11939290 15195460 16715006 23878580 30390920 33430012 41787515 47757160 66860024 83575030 167150060 334300120