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67345740 = 2232571143113
BaseRepresentation
bin1000000001110…
…01110101001100
311200201111222200
410000321311030
5114220030430
610403241500
71445300160
oct400716514
9150644880
1067345740
1135018940
121a679290
1310c4c667
148d30ca0
155da4460
hex4039d4c

67345740 has 288 divisors, whose sum is σ = 262918656. Its totient is φ = 13547520.

The previous prime is 67345723. The next prime is 67345741. The reversal of 67345740 is 4754376.

It is a super-2 number, since 2×673457402 = 9070897392295200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 = 67345695 and 67345704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67345741) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 595924 + ... + 596036.

It is an arithmetic number, because the mean of its divisors is an integer number (912912).

Almost surely, 267345740 is an apocalyptic number.

67345740 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 67345740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131459328).

67345740 is an abundant number, since it is smaller than the sum of its proper divisors (195572916).

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

67345740 is a wasteful number, since it uses less digits than its factorization.

67345740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 67345740 is about 8206.4450281471. The cubic root of 67345740 is about 406.8522384571.

The spelling of 67345740 in words is "sixty-seven million, three hundred forty-five thousand, seven hundred forty".