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68358336 = 2632912277
BaseRepresentation
bin1000001001100…
…01000011000000
311202121222000020
410010301003000
5114444431321
610441053440
71460015304
oct404610300
9152558006
1068358336
113564a6a2
121aa87280
1311215527
149115d04
1560044c6
hex41310c0

68358336 has 56 divisors (see below), whose sum is σ = 187116720. Its totient is φ = 21998592.

The previous prime is 68358313. The next prime is 68358349. The reversal of 68358336 is 63385386.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 571 + ... + 11706.

It is an arithmetic number, because the mean of its divisors is an integer number (3341370).

Almost surely, 268358336 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 68358336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93558360).

68358336 is an abundant number, since it is smaller than the sum of its proper divisors (118758384).

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

68358336 is a wasteful number, since it uses less digits than its factorization.

68358336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12321 (or 12311 counting only the distinct ones).

The product of its digits is 311040, while the sum is 42.

The square root of 68358336 is about 8267.9100140241. The cubic root of 68358336 is about 408.8812172124.

The spelling of 68358336 in words is "sixty-eight million, three hundred fifty-eight thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 174 192 232 348 464 696 928 1392 1856 2784 5568 12277 24554 36831 49108 73662 98216 147324 196432 294648 356033 392864 589296 712066 785728 1068099 1178592 1424132 2136198 2357184 2848264 4272396 5696528 8544792 11393056 17089584 22786112 34179168 68358336