Search a number
-
+
67412340 = 223252391567
BaseRepresentation
bin1000000010010…
…10000101110100
311200211220100100
410001022011310
5114224143330
610404514100
71445665302
oct401120564
9150756310
1067412340
1135063986
121a6ab930
1310c73a78
148d4b272
155db9060
hex404a174

67412340 has 72 divisors (see below), whose sum is σ = 205470720. Its totient is φ = 17889984.

The previous prime is 67412339. The next prime is 67412341. The reversal of 67412340 is 4321476.

It is an interprime number because it is at equal distance from previous prime (67412339) and next prime (67412341).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67412341) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42237 + ... + 43803.

It is an arithmetic number, because the mean of its divisors is an integer number (2853760).

Almost surely, 267412340 is an apocalyptic number.

67412340 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 67412340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102735360).

67412340 is an abundant number, since it is smaller than the sum of its proper divisors (138058380).

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

67412340 is a wasteful number, since it uses less digits than its factorization.

67412340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1821 (or 1816 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 67412340 is about 8210.5018117043. The cubic root of 67412340 is about 406.9863099509.

The spelling of 67412340 in words is "sixty-seven million, four hundred twelve thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 239 478 717 956 1195 1434 1567 2151 2390 2868 3134 3585 4302 4701 4780 6268 7170 7835 8604 9402 10755 14103 14340 15670 18804 21510 23505 28206 31340 43020 47010 56412 70515 94020 141030 282060 374513 749026 1123539 1498052 1872565 2247078 3370617 3745130 4494156 5617695 6741234 7490260 11235390 13482468 16853085 22470780 33706170 67412340