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68354496 = 263375651
BaseRepresentation
bin1000001001100…
…00000111000000
311202121202202000
410010300013000
5114444320441
610441024000
71460001150
oct404600700
9152552660
1068354496
1135647821
121aa85000
1311213862
149114760
1560032b6
hex41301c0

68354496 has 112 divisors (see below), whose sum is σ = 229697280. Its totient is φ = 19526400.

The previous prime is 68354453. The next prime is 68354527. The reversal of 68354496 is 69445386.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 9271 + ... + 14921.

Almost surely, 268354496 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 68354496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114848640).

68354496 is an abundant number, since it is smaller than the sum of its proper divisors (161342784).

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

68354496 is a wasteful number, since it uses less digits than its factorization.

68354496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5679 (or 5663 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 68354496 is about 8267.6777876257. The cubic root of 68354496 is about 408.8735608271.

The spelling of 68354496 in words is "sixty-eight million, three hundred fifty-four thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 144 168 189 192 216 224 252 288 336 378 432 448 504 576 672 756 864 1008 1344 1512 1728 2016 3024 4032 5651 6048 11302 12096 16953 22604 33906 39557 45208 50859 67812 79114 90416 101718 118671 135624 152577 158228 180832 203436 237342 271248 305154 316456 356013 361664 406872 474684 542496 610308 632912 712026 813744 949368 1068039 1084992 1220616 1265824 1424052 1627488 1898736 2136078 2441232 2531648 2848104 3254976 3797472 4272156 4882464 5696208 7594944 8544312 9764928 11392416 17088624 22784832 34177248 68354496