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66984324 = 223114112377
BaseRepresentation
bin1111111110000…
…1100110000100
311200001011012220
43333201212010
5114121444244
610351412340
71442233401
oct377414604
9150034186
1066984324
11348a1350
121a5240b0
1310b53cc4
148c792a8
155d32319
hex3fe1984

66984324 has 48 divisors (see below), whose sum is σ = 174678336. Its totient is φ = 19801600.

The previous prime is 66984277. The next prime is 66984343. The reversal of 66984324 is 42348966.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 777 + ... + 11600.

It is an arithmetic number, because the mean of its divisors is an integer number (3639132).

Almost surely, 266984324 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 66984324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87339168).

66984324 is an abundant number, since it is smaller than the sum of its proper divisors (107694012).

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

66984324 is a wasteful number, since it uses less digits than its factorization.

66984324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12436 (or 12434 counting only the distinct ones).

The product of its digits is 248832, while the sum is 42.

The square root of 66984324 is about 8184.3951517507. The cubic root of 66984324 is about 406.1231315400.

The spelling of 66984324 in words is "sixty-six million, nine hundred eighty-four thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 22 33 41 44 66 82 123 132 164 246 451 492 902 1353 1804 2706 5412 12377 24754 37131 49508 74262 136147 148524 272294 408441 507457 544588 816882 1014914 1522371 1633764 2029828 3044742 5582027 6089484 11164054 16746081 22328108 33492162 66984324