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68479344 = 243719103
BaseRepresentation
bin1000001010011…
…10100101110000
311202212010000000
410011032211300
5120012314334
610443430000
71461031143
oct405164560
9152763000
1068479344
11357225aa
121ab25300
131125862b
14914805a
15602a299
hex414e970

68479344 has 160 divisors (see below), whose sum is σ = 211494400. Its totient is φ = 21415104.

The previous prime is 68479331. The next prime is 68479387. The reversal of 68479344 is 44397486.

It is a self number, because there is not a number n which added to its sum of digits gives 68479344.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 664797 + ... + 664899.

It is an arithmetic number, because the mean of its divisors is an integer number (1321840).

Almost surely, 268479344 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 68479344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105747200).

68479344 is an abundant number, since it is smaller than the sum of its proper divisors (143015056).

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

68479344 is a wasteful number, since it uses less digits than its factorization.

68479344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 127 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 68479344 is about 8275.2247099399. The cubic root of 68479344 is about 409.1223423120.

The spelling of 68479344 in words is "sixty-eight million, four hundred seventy-nine thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 48 54 57 72 76 81 103 108 114 144 152 162 171 206 216 228 243 304 309 324 342 412 432 456 486 513 618 648 684 729 824 912 927 972 1026 1236 1296 1368 1458 1539 1648 1854 1944 1957 2052 2187 2472 2736 2781 2916 3078 3708 3888 3914 4104 4374 4617 4944 5562 5832 5871 6156 7416 7828 8208 8343 8748 9234 11124 11664 11742 12312 13851 14832 15656 16686 17496 17613 18468 22248 23484 24624 25029 27702 31312 33372 34992 35226 36936 41553 44496 46968 50058 52839 55404 66744 70452 73872 75087 83106 93936 100116 105678 110808 133488 140904 150174 158517 166212 200232 211356 221616 225261 281808 300348 317034 332424 400464 422712 450522 475551 600696 634068 664848 845424 901044 951102 1201392 1268136 1426653 1802088 1902204 2536272 2853306 3604176 3804408 4279959 5706612 7608816 8559918 11413224 17119836 22826448 34239672 68479344