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66440304 = 24337127173
BaseRepresentation
bin1111110101110…
…0110001110000
311122000111222000
43331130301300
5114002042204
610332014000
71434506340
oct375346160
9148014860
1066440304
113455a647
121a301300
13109c34b8
148b76d20
155c76039
hex3f5cc70

66440304 has 160 divisors (see below), whose sum is σ = 220938240. Its totient is φ = 18724608.

The previous prime is 66440303. The next prime is 66440357. The reversal of 66440304 is 40304466.

It is a happy number.

It is a super-2 number, since 2×664403042 = 8828627991224832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66440303) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 383962 + ... + 384134.

It is an arithmetic number, because the mean of its divisors is an integer number (1380864).

Almost surely, 266440304 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 66440304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110469120).

66440304 is an abundant number, since it is smaller than the sum of its proper divisors (154497936).

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

66440304 is a wasteful number, since it uses less digits than its factorization.

66440304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 66440304 is about 8151.0921967550. The cubic root of 66440304 is about 405.0206848146.

The spelling of 66440304 in words is "sixty-six million, four hundred forty thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 127 144 168 173 189 216 252 254 336 346 378 381 432 504 508 519 692 756 762 889 1008 1016 1038 1143 1211 1384 1512 1524 1557 1778 2032 2076 2286 2422 2667 2768 3024 3048 3114 3429 3556 3633 4152 4572 4671 4844 5334 6096 6228 6858 7112 7266 8001 8304 9144 9342 9688 10668 10899 12456 13716 14224 14532 16002 18288 18684 19376 21336 21798 21971 24003 24912 27432 29064 32004 32697 37368 42672 43596 43942 48006 54864 58128 64008 65394 65913 74736 87192 87884 96012 128016 130788 131826 153797 174384 175768 192024 197739 261576 263652 307594 351536 384048 395478 461391 523152 527304 593217 615188 790956 922782 1054608 1186434 1230376 1384173 1581912 1845564 2372868 2460752 2768346 3163824 3691128 4152519 4745736 5536692 7382256 8305038 9491472 11073384 16610076 22146768 33220152 66440304