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66674340 = 2236517269
BaseRepresentation
bin1111111001010…
…1111010100100
311122110102000000
43332111322210
5114032034330
610341021300
71436502555
oct376257244
9148412000
1066674340
11346aa467
121a3b4830
1310a75b95
148bd832c
155cc0560
hex3f95ea4

66674340 has 168 divisors, whose sum is σ = 223103160. Its totient is φ = 16671744.

The previous prime is 66674329. The next prime is 66674351. The reversal of 66674340 is 4347666.

It is an interprime number because it is at equal distance from previous prime (66674329) and next prime (66674351).

It can be written as a sum of positive squares in 4 ways, for example, as 2802276 + 63872064 = 1674^2 + 7992^2 .

It is a super-2 number, since 2×666743402 = 8890935228871200, which contains 22 as substring.

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 = 66674295 and 66674304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 247726 + ... + 247994.

It is an arithmetic number, because the mean of its divisors is an integer number (1327995).

Almost surely, 266674340 is an apocalyptic number.

66674340 is a gapful number since it is divisible by the number (60) 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 66674340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111551580).

66674340 is an abundant number, since it is smaller than the sum of its proper divisors (156428820).

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

66674340 is a wasteful number, since it uses less digits than its factorization.

66674340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 66674340 is about 8165.4356895392. The cubic root of 66674340 is about 405.4956893625.

The spelling of 66674340 in words is "sixty-six million, six hundred seventy-four thousand, three hundred forty".