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68671344 = 243734397
BaseRepresentation
bin1000001011111…
…01011101110000
311210012212101010
410011331131300
5120034440334
610451510520
71462461000
oct405753560
9153185333
1068671344
1135843885
121abb8440
13112c4b41
149198000
1560670e9
hex417d770

68671344 has 160 divisors (see below), whose sum is σ = 213875200. Its totient is φ = 18966528.

The previous prime is 68671331. The next prime is 68671349. The reversal of 68671344 is 44317686.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68671349) 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, 707904 + ... + 708000.

It is an arithmetic number, because the mean of its divisors is an integer number (1336720).

Almost surely, 268671344 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 68671344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106937600).

68671344 is an abundant number, since it is smaller than the sum of its proper divisors (145203856).

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

68671344 is a wasteful number, since it uses less digits than its factorization.

68671344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 152 counting only the distinct ones).

The product of its digits is 96768, while the sum is 39.

The square root of 68671344 is about 8286.8174832079. The cubic root of 68671344 is about 409.5043465095.

The spelling of 68671344 in words is "sixty-eight million, six hundred seventy-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 43 48 49 56 84 86 97 98 112 129 147 168 172 194 196 258 291 294 301 336 343 344 388 392 516 582 588 602 679 686 688 776 784 903 1029 1032 1164 1176 1204 1358 1372 1552 1806 2037 2058 2064 2107 2328 2352 2408 2716 2744 3612 4074 4116 4171 4214 4656 4753 4816 5432 5488 6321 7224 8148 8232 8342 8428 9506 10864 12513 12642 14259 14448 14749 16296 16464 16684 16856 19012 25026 25284 28518 29197 29498 32592 33271 33368 33712 38024 44247 50052 50568 57036 58394 58996 66542 66736 76048 87591 88494 99813 100104 101136 114072 116788 117992 133084 175182 176988 199626 200208 204379 228144 233576 235984 266168 350364 353976 399252 408758 467152 532336 613137 700728 707952 798504 817516 1226274 1401456 1430653 1597008 1635032 2452548 2861306 3270064 4291959 4905096 5722612 8583918 9810192 11445224 17167836 22890448 34335672 68671344