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67400424 = 2336713127
BaseRepresentation
bin1000000010001…
…11001011101000
311200211022000000
410001013023220
5114223303144
610404343000
71445615460
oct401071350
9150738000
1067400424
1135055a33
121a6a4a60
1310c6b510
148d46ba0
155db5769
hex40472e8

67400424 has 224 divisors, whose sum is σ = 235038720. Its totient is φ = 17635968.

The previous prime is 67400423. The next prime is 67400441. The reversal of 67400424 is 42400476.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (67400423) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 530649 + ... + 530775.

It is an arithmetic number, because the mean of its divisors is an integer number (1049280).

Almost surely, 267400424 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 67400424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117519360).

67400424 is an abundant number, since it is smaller than the sum of its proper divisors (167638296).

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

67400424 is a wasteful number, since it uses less digits than its factorization.

67400424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 67400424 is about 8209.7761236224. The cubic root of 67400424 is about 406.9623285125.

The spelling of 67400424 in words is "sixty-seven million, four hundred thousand, four hundred twenty-four".