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67400000 = 2655337
BaseRepresentation
bin1000000010001…
…11000101000000
311200211021102022
410001013011000
5114223300000
610404341012
71445614313
oct401070500
9150737368
1067400000
1135055688
121a6a4768
1310c6b275
148d4697a
155db5585
hex4047140

67400000 has 84 divisors (see below), whose sum is σ = 167668956. Its totient is φ = 26880000.

The previous prime is 67399999. The next prime is 67400009. The reversal of 67400000 is 476.

It can be written as a sum of positive squares in 6 ways, for example, as 61089856 + 6310144 = 7816^2 + 2512^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67400009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 199832 + ... + 200168.

It is an arithmetic number, because the mean of its divisors is an integer number (1996059).

Almost surely, 267400000 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 67400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83834478).

67400000 is an abundant number, since it is smaller than the sum of its proper divisors (100268956).

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

67400000 is an frugal number, since it uses more digits than its factorization.

67400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 17.

The square root of 67400000 is about 8209.7503007095. The cubic root of 67400000 is about 406.9614751430.

Adding to 67400000 its reverse (476), we get a palindrome (67400476).

The spelling of 67400000 in words is "sixty-seven million, four hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 337 400 500 625 674 800 1000 1250 1348 1600 1685 2000 2500 2696 3125 3370 4000 5000 5392 6250 6740 8000 8425 10000 10784 12500 13480 16850 20000 21568 25000 26960 33700 40000 42125 50000 53920 67400 84250 100000 107840 134800 168500 200000 210625 269600 337000 421250 539200 674000 842500 1053125 1348000 1685000 2106250 2696000 3370000 4212500 6740000 8425000 13480000 16850000 33700000 67400000