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342324320 = 25513315309
BaseRepresentation
bin10100011001110…
…111010001100000
3212212010212200112
4110121313101200
51200113334240
653545110452
711324465042
oct2431672140
9785125615
10342324320
11166262368
1296788428
1355bc9590
143366da92
15200be665
hex14677460

342324320 has 96 divisors (see below), whose sum is σ = 899216640. Its totient is φ = 122296320.

The previous prime is 342324317. The next prime is 342324337. The reversal of 342324320 is 23423243.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61826 + ... + 67134.

It is an arithmetic number, because the mean of its divisors is an integer number (9366840).

Almost surely, 2342324320 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 342324320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449608320).

342324320 is an abundant number, since it is smaller than the sum of its proper divisors (556892320).

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

342324320 is a wasteful number, since it uses less digits than its factorization.

342324320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5368 (or 5360 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 23.

The square root of 342324320 is about 18502.0085396154. The cubic root of 342324320 is about 699.5400515898.

Adding to 342324320 its reverse (23423243), we get a palindrome (365747563).

The spelling of 342324320 in words is "three hundred forty-two million, three hundred twenty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 31 32 40 52 62 65 80 104 124 130 155 160 208 248 260 310 403 416 496 520 620 806 992 1040 1240 1612 2015 2080 2480 3224 4030 4960 5309 6448 8060 10618 12896 16120 21236 26545 32240 42472 53090 64480 69017 84944 106180 138034 164579 169888 212360 276068 329158 345085 424720 552136 658316 690170 822895 849440 1104272 1316632 1380340 1645790 2139527 2208544 2633264 2760680 3291580 4279054 5266528 5521360 6583160 8558108 10697635 11042720 13166320 17116216 21395270 26332640 34232432 42790540 68464864 85581080 171162160 342324320