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68195328 = 210379281
BaseRepresentation
bin1000001000010…
…01010000000000
311202022200101220
410010021100000
5114424222303
610433355040
71455436125
oct404112000
9152280356
1068195328
1135549183
121aa08a80
1311189286
1490b274c
155ec1053
hex4109400

68195328 has 88 divisors (see below), whose sum is σ = 184721280. Its totient is φ = 22364160.

The previous prime is 68195321. The next prime is 68195353. The reversal of 68195328 is 82359186.

It is a super-2 number, since 2×681953282 = 9301205522055168, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 68195328.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68195321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 242548 + ... + 242828.

Almost surely, 268195328 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 68195328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92360640).

68195328 is an abundant number, since it is smaller than the sum of its proper divisors (116525952).

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

68195328 is a wasteful number, since it uses less digits than its factorization.

68195328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 365 counting only the distinct ones).

The product of its digits is 103680, while the sum is 42.

The square root of 68195328 is about 8258.0462580443. The cubic root of 68195328 is about 408.5559510611. Note that the first 3 decimals are identical.

The spelling of 68195328 in words is "sixty-eight million, one hundred ninety-five thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 79 96 128 158 192 237 256 281 316 384 474 512 562 632 768 843 948 1024 1124 1264 1536 1686 1896 2248 2528 3072 3372 3792 4496 5056 6744 7584 8992 10112 13488 15168 17984 20224 22199 26976 30336 35968 40448 44398 53952 60672 66597 71936 80896 88796 107904 121344 133194 143872 177592 215808 242688 266388 287744 355184 431616 532776 710368 863232 1065552 1420736 2131104 2841472 4262208 5682944 8524416 11365888 17048832 22731776 34097664 68195328