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66373344 = 253429883
BaseRepresentation
bin1111110100110…
…0011011100000
311121220010010000
43331030123200
5113442421334
610330340000
71434110202
oct375143340
9147803100
1066373344
1134514304
121a28a600
131099bb8b
148b5a772
155c61299
hex3f4c6e0

66373344 has 120 divisors (see below), whose sum is σ = 202161960. Its totient is φ = 21337344.

The previous prime is 66373339. The next prime is 66373367. The reversal of 66373344 is 44337366.

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 = 66373299 and 66373308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 74727 + ... + 75609.

It is an arithmetic number, because the mean of its divisors is an integer number (1684683).

Almost surely, 266373344 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 66373344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101080980).

66373344 is an abundant number, since it is smaller than the sum of its proper divisors (135788616).

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

66373344 is a wasteful number, since it uses less digits than its factorization.

66373344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 934 (or 917 counting only the distinct ones).

The product of its digits is 108864, while the sum is 36.

The square root of 66373344 is about 8146.9837363284. The cubic root of 66373344 is about 404.8845761612.

The spelling of 66373344 in words is "sixty-six million, three hundred seventy-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 72 81 87 96 108 116 144 162 174 216 232 261 288 324 348 432 464 522 648 696 783 864 883 928 1044 1296 1392 1566 1766 2088 2349 2592 2649 2784 3132 3532 4176 4698 5298 6264 7064 7947 8352 9396 10596 12528 14128 15894 18792 21192 23841 25056 25607 28256 31788 37584 42384 47682 51214 63576 71523 75168 76821 84768 95364 102428 127152 143046 153642 190728 204856 230463 254304 286092 307284 381456 409712 460926 572184 614568 691389 762912 819424 921852 1144368 1229136 1382778 1843704 2074167 2288736 2458272 2765556 3687408 4148334 5531112 7374816 8296668 11062224 16593336 22124448 33186672 66373344