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66434610 = 23511375441
BaseRepresentation
bin1111110101101…
…1011000110010
311122000020011010
43331123120302
5114001401420
610331531350
71434453624
oct375333062
9148006133
1066434610
1134556340
121a2b9b56
13109c0a28
148b74c14
155c744e0
hex3f5b632

66434610 has 64 divisors (see below), whose sum is σ = 178671744. Its totient is φ = 15667200.

The previous prime is 66434609. The next prime is 66434639. The reversal of 66434610 is 1643466.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9490 + ... + 14930.

It is an arithmetic number, because the mean of its divisors is an integer number (2791746).

Almost surely, 266434610 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66434610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89335872).

66434610 is an abundant number, since it is smaller than the sum of its proper divisors (112237134).

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

66434610 is a wasteful number, since it uses less digits than its factorization.

66434610 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5499.

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 66434610 is about 8150.7429109254. The cubic root of 66434610 is about 405.0091142591.

The spelling of 66434610 in words is "sixty-six million, four hundred thirty-four thousand, six hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 37 55 66 74 110 111 165 185 222 330 370 407 555 814 1110 1221 2035 2442 4070 5441 6105 10882 12210 16323 27205 32646 54410 59851 81615 119702 163230 179553 201317 299255 359106 402634 598510 603951 897765 1006585 1207902 1795530 2013170 2214487 3019755 4428974 6039510 6643461 11072435 13286922 22144870 33217305 66434610