Search a number
-
+
234193968 = 24324139667
BaseRepresentation
bin11011111010110…
…00010000110000
3121022200021201200
431331120100300
5434423201333
635123331200
75542421151
oct1575302060
9538607650
10234193968
11110218438
1266520b00
133969a218
1423163928
1515860c13
hexdf58430

234193968 has 60 divisors (see below), whose sum is σ = 671420568. Its totient is φ = 76158720.

The previous prime is 234193961. The next prime is 234193991. The reversal of 234193968 is 869391432.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (234193961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13930 + ... + 25737.

Almost surely, 2234193968 is an apocalyptic number.

It is an amenable number.

234193968 is an abundant number, since it is smaller than the sum of its proper divisors (437226600).

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

234193968 is a wasteful number, since it uses less digits than its factorization.

234193968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39722 (or 39713 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 234193968 is about 15303.3972698875. The cubic root of 234193968 is about 616.3942351858.

The spelling of 234193968 in words is "two hundred thirty-four million, one hundred ninety-three thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 41 48 72 82 123 144 164 246 328 369 492 656 738 984 1476 1968 2952 5904 39667 79334 119001 158668 238002 317336 357003 476004 634672 714006 952008 1428012 1626347 1904016 2856024 3252694 4879041 5712048 6505388 9758082 13010776 14637123 19516164 26021552 29274246 39032328 58548492 78064656 117096984 234193968