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64068444 = 2232111731307
BaseRepresentation
bin1111010001100…
…1101101011100
311110120000101100
43310121231130
5112400142234
610205113100
71405400316
oct364315534
9143500340
1064068444
113318a630
1219558790
1310372a2b
14871a7b6
155958399
hex3d19b5c

64068444 has 144 divisors (see below), whose sum is σ = 193729536. Its totient is φ = 17625600.

The previous prime is 64068443. The next prime is 64068451. The reversal of 64068444 is 44486046.

64068444 is a `hidden beast` number, since 640 + 6 + 8 + 4 + 4 + 4 = 666.

It is a super-2 number, since 2×640684442 = 8209531033162272, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 64068399 and 64068408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64068443) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 208539 + ... + 208845.

It is an arithmetic number, because the mean of its divisors is an integer number (1345344).

Almost surely, 264068444 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 64068444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96864768).

64068444 is an abundant number, since it is smaller than the sum of its proper divisors (129661092).

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

64068444 is a wasteful number, since it uses less digits than its factorization.

64068444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 64068444 is about 8004.2766069146. The cubic root of 64068444 is about 400.1425408659.

The spelling of 64068444 in words is "sixty-four million, sixty-eight thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 31 33 34 36 44 51 62 66 68 93 99 102 124 132 153 186 187 198 204 279 306 307 341 372 374 396 527 558 561 612 614 682 748 921 1023 1054 1116 1122 1228 1364 1581 1683 1842 2046 2108 2244 2763 3069 3162 3366 3377 3684 4092 4743 5219 5526 5797 6138 6324 6732 6754 9486 9517 10131 10438 11052 11594 12276 13508 15657 17391 18972 19034 20262 20876 23188 28551 30393 31314 34782 38068 40524 46971 52173 57102 57409 60786 62628 69564 85653 93942 104346 104687 114204 114818 121572 161789 171306 172227 187884 208692 209374 229636 314061 323578 342612 344454 418748 485367 516681 628122 647156 688908 942183 970734 1033362 1256244 1456101 1779679 1884366 1941468 2066724 2912202 3559358 3768732 5339037 5824404 7118716 10678074 16017111 21356148 32034222 64068444