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66345344 = 271323067
BaseRepresentation
bin1111110100010…
…1100110000000
311121211200200222
43331011212000
5113441022334
610330002212
71433632442
oct375054600
9147750628
1066345344
11344a526a
121a276368
131098c200
148b50492
155c57d2e
hex3f45980

66345344 has 48 divisors (see below), whose sum is σ = 143168220. Its totient is φ = 30610944.

The previous prime is 66345313. The next prime is 66345361. The reversal of 66345344 is 44354366.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 20099 + ... + 23165.

Almost surely, 266345344 is an apocalyptic number.

66345344 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66345344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71584110).

66345344 is an abundant number, since it is smaller than the sum of its proper divisors (76822876).

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

66345344 is a wasteful number, since it uses less digits than its factorization.

66345344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3107 (or 3082 counting only the distinct ones).

The product of its digits is 103680, while the sum is 35.

The square root of 66345344 is about 8145.2651276677. The cubic root of 66345344 is about 404.8276338106.

The spelling of 66345344 in words is "sixty-six million, three hundred forty-five thousand, three hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 169 208 338 416 676 832 1352 1664 2704 3067 5408 6134 10816 12268 21632 24536 39871 49072 79742 98144 159484 196288 318968 392576 518323 637936 1036646 1275872 2073292 2551744 4146584 5103488 8293168 16586336 33172672 66345344