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68884704 = 2532747727
BaseRepresentation
bin1000001101100…
…01100011100000
311210121201001100
410012301203200
5120113302304
610500234400
71464340020
oct406614340
9153551040
1068884704
113597a109
121b09ba00
131136aca5
149211a80
1560aa439
hex41b18e0

68884704 has 144 divisors (see below), whose sum is σ = 228953088. Its totient is φ = 19236096.

The previous prime is 68884703. The next prime is 68884721. The reversal of 68884704 is 40748886.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 68884704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68884703) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 94389 + ... + 95115.

It is an arithmetic number, because the mean of its divisors is an integer number (1589952).

Almost surely, 268884704 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 68884704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114476544).

68884704 is an abundant number, since it is smaller than the sum of its proper divisors (160068384).

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

68884704 is a wasteful number, since it uses less digits than its factorization.

68884704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 797 (or 786 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The square root of 68884704 is about 8299.6809577236. The cubic root of 68884704 is about 409.9280143299.

The spelling of 68884704 in words is "sixty-eight million, eight hundred eighty-four thousand, seven hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 47 48 56 63 72 84 94 96 112 126 141 144 168 188 224 252 282 288 329 336 376 423 504 564 658 672 727 752 846 987 1008 1128 1316 1454 1504 1692 1974 2016 2181 2256 2632 2908 2961 3384 3948 4362 4512 5089 5264 5816 5922 6543 6768 7896 8724 10178 10528 11632 11844 13086 13536 15267 15792 17448 20356 23264 23688 26172 30534 31584 34169 34896 40712 45801 47376 52344 61068 68338 69792 81424 91602 94752 102507 104688 122136 136676 162848 183204 205014 209376 239183 244272 273352 307521 366408 410028 478366 488544 546704 615042 717549 732816 820056 956732 1093408 1230084 1435098 1465632 1640112 1913464 2152647 2460168 2870196 3280224 3826928 4305294 4920336 5740392 7653856 8610588 9840672 11480784 17221176 22961568 34442352 68884704