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68340340 = 225171971149
BaseRepresentation
bin1000001001011…
…00101001110100
311202121001022201
410010230221310
5114443342330
610440434244
71456611655
oct404545164
9152531281
1068340340
1135638122
121aa78984
131120a293
14910d52c
155eedeca
hex412ca74

68340340 has 96 divisors (see below), whose sum is σ = 163296000. Its totient is φ = 23869440.

The previous prime is 68340329. The next prime is 68340343. The reversal of 68340340 is 4304386.

It is a junction number, because it is equal to n+sod(n) for n = 68340299 and 68340308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68340343) 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 31 ways as a sum of consecutive naturals, for example, 458586 + ... + 458734.

It is an arithmetic number, because the mean of its divisors is an integer number (1701000).

Almost surely, 268340340 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 68340340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81648000).

68340340 is an abundant number, since it is smaller than the sum of its proper divisors (94955660).

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

68340340 is a wasteful number, since it uses less digits than its factorization.

68340340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The square root of 68340340 is about 8266.8216383324. The cubic root of 68340340 is about 408.8453334045.

The spelling of 68340340 in words is "sixty-eight million, three hundred forty thousand, three hundred forty".

Divisors: 1 2 4 5 10 17 19 20 34 38 68 71 76 85 95 142 149 170 190 284 298 323 340 355 380 596 646 710 745 1207 1292 1349 1420 1490 1615 2414 2533 2698 2831 2980 3230 4828 5066 5396 5662 6035 6460 6745 10132 10579 11324 12070 12665 13490 14155 21158 22933 24140 25330 26980 28310 42316 45866 48127 50660 52895 56620 91732 96254 105790 114665 179843 192508 201001 211580 229330 240635 359686 402002 458660 481270 719372 804004 899215 962540 1005005 1798430 2010010 3417017 3596860 4020020 6834034 13668068 17085085 34170170 68340340