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340102816 = 25173761277
BaseRepresentation
bin10100010001011…
…000111010100000
3212200222000100121
4110101120322200
51144031242231
653425330024
711266553254
oct2421307240
9780860317
10340102816
11164a85309
1295a96914
13555cc391
1433252264
151ecd1311
hex14458ea0

340102816 has 96 divisors (see below), whose sum is σ = 742733712. Its totient is φ = 152616960.

The previous prime is 340102769. The next prime is 340102823. The reversal of 340102816 is 618201043.

It can be written as a sum of positive squares in 8 ways, for example, as 134467216 + 205635600 = 11596^2 + 14340^2 .

It is a super-2 number, since 2×3401028162 = 231339850902259712, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 1227670 + ... + 1227946.

Almost surely, 2340102816 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 340102816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371366856).

340102816 is an abundant number, since it is smaller than the sum of its proper divisors (402630896).

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

340102816 is a wasteful number, since it uses less digits than its factorization.

340102816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 340102816 is about 18441.8766940895. The cubic root of 340102816 is about 698.0235512835.

Adding to 340102816 its reverse (618201043), we get a palindrome (958303859).

The spelling of 340102816 in words is "three hundred forty million, one hundred two thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 17 32 34 37 61 68 74 122 136 148 244 272 277 296 488 544 554 592 629 976 1037 1108 1184 1258 1952 2074 2216 2257 2516 4148 4432 4514 4709 5032 8296 8864 9028 9418 10064 10249 16592 16897 18056 18836 20128 20498 33184 33794 36112 37672 38369 40996 67588 72224 75344 76738 81992 135176 150688 153476 163984 174233 270352 287249 306952 327968 348466 540704 574498 613904 625189 696932 1148996 1227808 1250378 1393864 2297992 2500756 2787728 4595984 5001512 5575456 9191968 10003024 10628213 20006048 21256426 42512852 85025704 170051408 340102816