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66314430 = 23357132699
BaseRepresentation
bin1111110011111…
…0000010111110
311121210010022000
43330332002332
5113434030210
610325203130
71433443350
oct374760276
9147703260
1066314430
1134484016
121a2604a6
131097b110
148b430d0
155c4dac0
hex3f3e0be

66314430 has 128 divisors (see below), whose sum is σ = 217728000. Its totient is φ = 13986432.

The previous prime is 66314429. The next prime is 66314453. The reversal of 66314430 is 3441366.

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

It is a junction number, because it is equal to n+sod(n) for n = 66314394 and 66314403.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 23221 + ... + 25919.

It is an arithmetic number, because the mean of its divisors is an integer number (1701000).

Almost surely, 266314430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66314430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108864000).

66314430 is an abundant number, since it is smaller than the sum of its proper divisors (151413570).

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

66314430 is a wasteful number, since it uses less digits than its factorization.

66314430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2735 (or 2729 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 66314430 is about 8143.3672396620. The cubic root of 66314430 is about 404.7647467763.

Adding to 66314430 its reverse (3441366), we get a palindrome (69755796).

The spelling of 66314430 in words is "sixty-six million, three hundred fourteen thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 13 14 15 18 21 26 27 30 35 39 42 45 54 63 65 70 78 90 91 105 117 126 130 135 182 189 195 210 234 270 273 315 351 378 390 455 546 585 630 702 819 910 945 1170 1365 1638 1755 1890 2457 2699 2730 3510 4095 4914 5398 8097 8190 12285 13495 16194 18893 24291 24570 26990 35087 37786 40485 48582 56679 70174 72873 80970 94465 105261 113358 121455 145746 170037 175435 188930 210522 242910 245609 283395 315783 340074 350870 364365 491218 510111 526305 566790 631566 728730 736827 850185 947349 1020222 1052610 1228045 1473654 1578915 1700370 1894698 2210481 2456090 2550555 3157830 3684135 4420962 4736745 5101110 6631443 7368270 9473490 11052405 13262886 22104810 33157215 66314430