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340304120 = 235131275153
BaseRepresentation
bin10100010010001…
…010000011111000
3212201100020111022
4110102022003320
51144104212440
653433522012
711301352202
oct2422120370
9781306438
10340304120
11165102582
1295b73308
135566cbb0
14332a5772
151ed20cb5
hex1448a0f8

340304120 has 64 divisors (see below), whose sum is σ = 831237120. Its totient is φ = 124637184.

The previous prime is 340304119. The next prime is 340304123. The reversal of 340304120 is 21403043.

340304120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340304123) 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 15 ways as a sum of consecutive naturals, for example, 63464 + ... + 68616.

It is an arithmetic number, because the mean of its divisors is an integer number (12988080).

Almost surely, 2340304120 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 340304120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415618560).

340304120 is an abundant number, since it is smaller than the sum of its proper divisors (490933000).

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

340304120 is a wasteful number, since it uses less digits than its factorization.

340304120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5304 (or 5300 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 340304120 is about 18447.3336826762. Note that the first 3 decimals coincide. The cubic root of 340304120 is about 698.1612422133.

Adding to 340304120 its reverse (21403043), we get a palindrome (361707163).

The spelling of 340304120 in words is "three hundred forty million, three hundred four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 127 130 254 260 508 520 635 1016 1270 1651 2540 3302 5080 5153 6604 8255 10306 13208 16510 20612 25765 33020 41224 51530 66040 66989 103060 133978 206120 267956 334945 535912 654431 669890 1308862 1339780 2617724 2679560 3272155 5235448 6544310 8507603 13088620 17015206 26177240 34030412 42538015 68060824 85076030 170152060 340304120