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68256384 = 273767379
BaseRepresentation
bin1000001000110…
…00001010000000
311202102210011020
410010120022000
5114433201014
610434545440
71456112130
oct404301200
9152383136
1068256384
1135590039
121aa38280
13111aacc1
1490caac0
155ed41a9
hex4118280

68256384 has 128 divisors (see below), whose sum is σ = 210854400. Its totient is φ = 19160064.

The previous prime is 68256337. The next prime is 68256439. The reversal of 68256384 is 48365286.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 179907 + ... + 180285.

It is an arithmetic number, because the mean of its divisors is an integer number (1647300).

Almost surely, 268256384 is an apocalyptic number.

68256384 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68256384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105427200).

68256384 is an abundant number, since it is smaller than the sum of its proper divisors (142598016).

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

68256384 is a wasteful number, since it uses less digits than its factorization.

68256384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470 (or 458 counting only the distinct ones).

The product of its digits is 276480, while the sum is 42.

The square root of 68256384 is about 8261.7421891511. The cubic root of 68256384 is about 408.6778428492.

The spelling of 68256384 in words is "sixty-eight million, two hundred fifty-six thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 67 84 96 112 128 134 168 192 201 224 268 336 379 384 402 448 469 536 672 758 804 896 938 1072 1137 1344 1407 1516 1608 1876 2144 2274 2653 2688 2814 3032 3216 3752 4288 4548 5306 5628 6064 6432 7504 7959 8576 9096 10612 11256 12128 12864 15008 15918 18192 21224 22512 24256 25393 25728 30016 31836 36384 42448 45024 48512 50786 60032 63672 72768 76179 84896 90048 101572 127344 145536 152358 169792 177751 180096 203144 254688 304716 339584 355502 406288 509376 533253 609432 711004 812576 1018752 1066506 1218864 1422008 1625152 2133012 2437728 2844016 3250304 4266024 4875456 5688032 8532048 9750912 11376064 17064096 22752128 34128192 68256384