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67243024 = 24171731429
BaseRepresentation
bin1000000001000…
…00110000010000
311200112022002101
410000200300100
5114203234044
610401130144
71444361542
oct400406020
9150468071
1067243024
1134a58752
121a629954
1310c14994
148d05692
155d83cd4
hex4020c10

67243024 has 40 divisors (see below), whose sum is σ = 138841560. Its totient is φ = 31438848.

The previous prime is 67243021. The next prime is 67243027. The reversal of 67243024 is 42034276.

It is an interprime number because it is at equal distance from previous prime (67243021) and next prime (67243027).

It can be written as a sum of positive squares in 4 ways, for example, as 16548624 + 50694400 = 4068^2 + 7120^2 .

It is a junction number, because it is equal to n+sod(n) for n = 67242983 and 67243001.

It is not an unprimeable number, because it can be changed into a prime (67243021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46342 + ... + 47770.

It is an arithmetic number, because the mean of its divisors is an integer number (3471039).

Almost surely, 267243024 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 67243024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69420780).

67243024 is an abundant number, since it is smaller than the sum of its proper divisors (71598536).

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

67243024 is a wasteful number, since it uses less digits than its factorization.

67243024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1627 (or 1621 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 28.

The square root of 67243024 is about 8200.1843881708. The cubic root of 67243024 is about 406.6452889715.

The spelling of 67243024 in words is "sixty-seven million, two hundred forty-three thousand, twenty-four".

Divisors: 1 2 4 8 16 17 34 68 136 173 272 346 692 1384 1429 2768 2858 2941 5716 5882 11432 11764 22864 23528 24293 47056 48586 97172 194344 247217 388688 494434 988868 1977736 3955472 4202689 8405378 16810756 33621512 67243024