Search a number
-
+
67344140 = 22517414831
BaseRepresentation
bin1000000001110…
…01011100001100
311200201102210102
410000321130030
5114220003030
610403230232
71445262413
oct400713414
9150642712
1067344140
1135017716
121a678378
1310c4ba06
148d3047a
155da3c45
hex403970c

67344140 has 48 divisors (see below), whose sum is σ = 153425664. Its totient is φ = 24729600.

The previous prime is 67344083. The next prime is 67344143. The reversal of 67344140 is 4144376.

It is not an unprimeable number, because it can be changed into a prime (67344143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11525 + ... + 16355.

It is an arithmetic number, because the mean of its divisors is an integer number (3196368).

Almost surely, 267344140 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 67344140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76712832).

67344140 is an abundant number, since it is smaller than the sum of its proper divisors (86081524).

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

67344140 is a wasteful number, since it uses less digits than its factorization.

67344140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4898 (or 4896 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 29.

The square root of 67344140 is about 8206.3475432131. The cubic root of 67344140 is about 406.8490164333.

The spelling of 67344140 in words is "sixty-seven million, three hundred forty-four thousand, one hundred forty".

Divisors: 1 2 4 5 10 17 20 34 41 68 82 85 164 170 205 340 410 697 820 1394 2788 3485 4831 6970 9662 13940 19324 24155 48310 82127 96620 164254 198071 328508 396142 410635 792284 821270 990355 1642540 1980710 3367207 3961420 6734414 13468828 16836035 33672070 67344140