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67944 = 23319149
BaseRepresentation
bin10000100101101000
310110012110
4100211220
54133234
61242320
7402042
oct204550
9113173
1067944
1147058
12333a0
1324c06
141aa92
15151e9
hex10968

67944 has 32 divisors (see below), whose sum is σ = 180000. Its totient is φ = 21312.

The previous prime is 67943. The next prime is 67957. The reversal of 67944 is 44976.

It is a d-powerful number, because it can be written as 64 + 7 + 92 + 45 + 48 .

It is not an unprimeable number, because it can be changed into a prime (67943) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 382 + ... + 530.

It is an arithmetic number, because the mean of its divisors is an integer number (5625).

267944 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 67944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90000).

67944 is an abundant number, since it is smaller than the sum of its proper divisors (112056).

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

67944 is a wasteful number, since it uses less digits than its factorization.

67944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 173 counting only the distinct ones).

The product of its digits is 6048, while the sum is 30.

The square root of 67944 is about 260.6606989939. The cubic root of 67944 is about 40.8053433986.

The spelling of 67944 in words is "sixty-seven thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 149 152 228 298 447 456 596 894 1192 1788 2831 3576 5662 8493 11324 16986 22648 33972 67944