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66342936 = 23311793181
BaseRepresentation
bin1111110100010…
…1000000011000
311121211120101210
43331011000120
5113440433221
610325543120
71433622432
oct375050030
9147746353
1066342936
11344a3480
121a274aa0
131098b09a
148b4d652
155c57276
hex3f45018

66342936 has 64 divisors (see below), whose sum is σ = 183283200. Its totient is φ = 19843200.

The previous prime is 66342919. The next prime is 66342953. The reversal of 66342936 is 63924366.

It is an interprime number because it is at equal distance from previous prime (66342919) and next prime (66342953).

It is a junction number, because it is equal to n+sod(n) for n = 66342894 and 66342903.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19266 + ... + 22446.

It is an arithmetic number, because the mean of its divisors is an integer number (2863800).

Almost surely, 266342936 is an apocalyptic number.

66342936 is a gapful number since it is divisible by the number (66) 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 66342936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91641600).

66342936 is an abundant number, since it is smaller than the sum of its proper divisors (116940264).

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

66342936 is a wasteful number, since it uses less digits than its factorization.

66342936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3280 (or 3276 counting only the distinct ones).

The product of its digits is 139968, while the sum is 39.

The square root of 66342936 is about 8145.1173103891. The cubic root of 66342936 is about 404.8227360203.

The spelling of 66342936 in words is "sixty-six million, three hundred forty-two thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 79 88 132 158 237 264 316 474 632 869 948 1738 1896 2607 3181 3476 5214 6362 6952 9543 10428 12724 19086 20856 25448 34991 38172 69982 76344 104973 139964 209946 251299 279928 419892 502598 753897 839784 1005196 1507794 2010392 2764289 3015588 5528578 6031176 8292867 11057156 16585734 22114312 33171468 66342936