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68341284 = 223211229541
BaseRepresentation
bin1000001001011…
…00111000100100
311202121002121200
410010230320210
5114443410114
610440442500
71456614504
oct404547044
9152532550
1068341284
1135638900
121aa79430
131120a83b
14910da04
155eee409
hex412ce24

68341284 has 108 divisors (see below), whose sum is σ = 196794780. Its totient is φ = 19958400.

The previous prime is 68341261. The next prime is 68341291. The reversal of 68341284 is 48214386.

It can be written as a sum of positive squares in 2 ways, for example, as 31472100 + 36869184 = 5610^2 + 6072^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 126054 + ... + 126594.

Almost surely, 268341284 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 68341284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98397390).

68341284 is an abundant number, since it is smaller than the sum of its proper divisors (128453496).

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

68341284 is a wasteful number, since it uses less digits than its factorization.

68341284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 602 (or 586 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 68341284 is about 8266.8787338390. The cubic root of 68341284 is about 408.8472158857.

It can be divided in two parts, 6834 and 1284, that added together give a palindrome (8118).

The spelling of 68341284 in words is "sixty-eight million, three hundred forty-one thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 29 33 36 44 58 66 87 99 116 121 132 174 198 242 261 319 348 363 396 484 522 541 638 726 957 1044 1082 1089 1276 1452 1623 1914 2164 2178 2871 3246 3509 3828 4356 4869 5742 5951 6492 7018 9738 10527 11484 11902 14036 15689 17853 19476 21054 23804 31378 31581 35706 42108 47067 53559 62756 63162 65461 71412 94134 107118 126324 130922 141201 172579 188268 196383 214236 261844 282402 345158 392766 517737 564804 589149 690316 785532 1035474 1178298 1553211 1898369 2070948 2356596 3106422 3796738 5695107 6212844 7593476 11390214 17085321 22780428 34170642 68341284