Search a number
-
+
67428348 = 223133173191
BaseRepresentation
bin1000000010011…
…01111111111100
311200212201022020
410001031333330
5114230201343
610405120140
71446063051
oct401157774
9150781266
1067428348
1135074a09
121a6b9050
1310c7b140
148d53028
155dbdb83
hex404dffc

67428348 has 96 divisors (see below), whose sum is σ = 178225152. Its totient is φ = 19699200.

The previous prime is 67428281. The next prime is 67428367. The reversal of 67428348 is 84382476.

It is a super-2 number, since 2×674283482 = 9093164228018208, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 352933 + ... + 353123.

It is an arithmetic number, because the mean of its divisors is an integer number (1856512).

Almost surely, 267428348 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 67428348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89112576).

67428348 is an abundant number, since it is smaller than the sum of its proper divisors (110796804).

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

67428348 is a wasteful number, since it uses less digits than its factorization.

67428348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 313 counting only the distinct ones).

The product of its digits is 258048, while the sum is 42.

The square root of 67428348 is about 8211.4766029016. The cubic root of 67428348 is about 407.0185222591.

It can be divided in two parts, 67428 and 348, that added together give a palindrome (67776).

The spelling of 67428348 in words is "sixty-seven million, four hundred twenty-eight thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 12 13 26 31 39 52 62 73 78 93 124 146 156 186 191 219 292 372 382 403 438 573 764 806 876 949 1146 1209 1612 1898 2263 2292 2418 2483 2847 3796 4526 4836 4966 5694 5921 6789 7449 9052 9932 11388 11842 13578 13943 14898 17763 23684 27156 27886 29419 29796 35526 41829 55772 58838 71052 76973 83658 88257 117676 153946 167316 176514 181259 230919 307892 353028 362518 432233 461838 543777 725036 864466 923676 1087554 1296699 1728932 2175108 2593398 5186796 5619029 11238058 16857087 22476116 33714174 67428348