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336686064 = 2431113181271
BaseRepresentation
bin10100000100010…
…110101111110000
3212110112102110020
4110010112233300
51142142423224
653224203440
711225533011
oct2404265760
9773472406
10336686064
11163061250
1294909580
13549a4130
1432a03008
151e858c79
hex14116bf0

336686064 has 160 divisors (see below), whose sum is σ = 1031267328. Its totient is φ = 93312000.

The previous prime is 336686057. The next prime is 336686081. The reversal of 336686064 is 460686633.

It is a super-2 number, since 2×3366860642 = 226715011383624192, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1242249 + ... + 1242519.

Almost surely, 2336686064 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 336686064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515633664).

336686064 is an abundant number, since it is smaller than the sum of its proper divisors (694581264).

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

336686064 is a wasteful number, since it uses less digits than its factorization.

336686064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 42.

The square root of 336686064 is about 18349.0071666017. The cubic root of 336686064 is about 695.6781772825.

The spelling of 336686064 in words is "three hundred thirty-six million, six hundred eighty-six thousand, sixty-four".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 33 39 44 48 52 66 78 88 104 132 143 156 176 181 208 264 271 286 312 362 429 528 542 543 572 624 724 813 858 1084 1086 1144 1448 1626 1716 1991 2168 2172 2288 2353 2896 2981 3252 3432 3523 3982 4336 4344 4706 5962 5973 6504 6864 7046 7059 7964 8688 8943 9412 10569 11924 11946 13008 14092 14118 15928 17886 18824 21138 23848 23892 25883 28184 28236 31856 35772 37648 38753 42276 47696 47784 49051 51766 56368 56472 71544 77506 77649 84552 95568 98102 103532 112944 116259 143088 147153 155012 155298 169104 196204 207064 232518 294306 310024 310596 392408 414128 465036 539561 588612 620048 621192 637663 784816 930072 1079122 1177224 1242384 1275326 1618683 1860144 1912989 2158244 2354448 2550652 3237366 3825978 4316488 5101304 6474732 7014293 7651956 8632976 10202608 12949464 14028586 15303912 21042879 25898928 28057172 30607824 42085758 56114344 84171516 112228688 168343032 336686064