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68867344 = 24721329233
BaseRepresentation
bin1000001101011…
…01010100010000
311210120211020101
410012231110100
5120112223334
610500022144
71464235300
oct406552420
9153524211
1068867344
1135968067
121b091954
1311363110
149209600
1560a5214
hex41ad510

68867344 has 120 divisors (see below), whose sum is σ = 173660760. Its totient is φ = 26191872.

The previous prime is 68867303. The next prime is 68867347. The reversal of 68867344 is 44376886.

It can be written as a sum of positive squares in 4 ways, for example, as 176400 + 68690944 = 420^2 + 8288^2 .

It is a super-2 number, since 2×688673442 = 9485422139228672, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 68867294 and 68867303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68867347) 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, 295452 + ... + 295684.

It is an arithmetic number, because the mean of its divisors is an integer number (1447173).

Almost surely, 268867344 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 68867344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86830380).

68867344 is an abundant number, since it is smaller than the sum of its proper divisors (104793416).

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

68867344 is a wasteful number, since it uses less digits than its factorization.

68867344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 284 counting only the distinct ones).

The product of its digits is 774144, while the sum is 46.

The square root of 68867344 is about 8298.6350684917. The cubic root of 68867344 is about 409.8935753916.

The spelling of 68867344 in words is "sixty-eight million, eight hundred sixty-seven thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 29 49 52 56 58 91 98 104 112 116 182 196 203 208 232 233 364 377 392 406 464 466 637 728 754 784 812 932 1274 1421 1456 1508 1624 1631 1864 2548 2639 2842 3016 3029 3248 3262 3728 5096 5278 5684 6032 6058 6524 6757 10192 10556 11368 11417 12116 13048 13514 18473 21112 21203 22736 22834 24232 26096 27028 36946 42224 42406 45668 47299 48464 54056 73892 84812 87841 91336 94598 108112 147784 148421 169624 175682 182672 189196 295568 296842 331093 339248 351364 378392 593684 614887 662186 702728 756784 1187368 1229774 1324372 1405456 2374736 2459548 2648744 4304209 4919096 5297488 8608418 9838192 17216836 34433672 68867344