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66514344 = 23313223231
BaseRepresentation
bin1111110110111…
…0110110101000
311122011021112020
43331232312220
5114011424334
610333344440
71435235241
oct375566650
9148137466
1066514344
1134600236
121a338120
1310a1b100
148b95cc8
155c8ce49
hex3f6eda8

66514344 has 144 divisors (see below), whose sum is σ = 194302080. Its totient is φ = 18944640.

The previous prime is 66514337. The next prime is 66514361. The reversal of 66514344 is 44341566.

Its product of digits (34560) is a multiple of the sum of its prime divisors (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2145609 + ... + 2145639.

It is an arithmetic number, because the mean of its divisors is an integer number (1349320).

Almost surely, 266514344 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 66514344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97151040).

66514344 is an abundant number, since it is smaller than the sum of its proper divisors (127787736).

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

66514344 is a wasteful number, since it uses less digits than its factorization.

66514344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 72 counting only the distinct ones).

The product of its digits is 34560, while the sum is 33.

The square root of 66514344 is about 8155.6326547975. The cubic root of 66514344 is about 405.1710784628.

It can be divided in two parts, 665143 and 44, that multiplied together give a palindrome (29266292).

The spelling of 66514344 in words is "sixty-six million, five hundred fourteen thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 23 24 26 31 39 46 52 62 69 78 92 93 104 124 138 156 169 184 186 248 276 299 312 338 372 403 507 529 552 598 676 713 744 806 897 1014 1058 1196 1209 1352 1426 1587 1612 1794 2028 2116 2139 2392 2418 2852 3174 3224 3588 3887 4056 4232 4278 4836 5239 5704 6348 6877 7176 7774 8556 9269 9672 10478 11661 12696 13754 15548 15717 16399 17112 18538 20631 20956 23322 27508 27807 31096 31434 32798 37076 41262 41912 46644 49197 55016 55614 62868 65596 74152 82524 89401 93288 98394 111228 120497 125736 131192 165048 178802 196788 213187 222456 240994 268203 357604 361491 393576 426374 481988 536406 639561 715208 722982 852748 963976 1072812 1279122 1445964 1705496 2145624 2558244 2771431 2891928 5116488 5542862 8314293 11085724 16628586 22171448 33257172 66514344