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68444376 = 233721121337
BaseRepresentation
bin1000001010001…
…10000011011000
311202210100000220
410011012003120
5120010210001
610443000040
71460524200
oct405060330
9152710026
1068444376
11356a9300
121ab09020
1311245740
149139400
15601ec36
hex41460d8

68444376 has 288 divisors, whose sum is σ = 241985520. Its totient is φ = 15966720.

The previous prime is 68444371. The next prime is 68444377. The reversal of 68444376 is 67344486.

It is a Harshad number since it is a multiple of its sum of digits (42).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68444371) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1849830 + ... + 1849866.

Almost surely, 268444376 is an apocalyptic number.

68444376 is a gapful number since it is divisible by the number (66) 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 68444376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120992760).

68444376 is an abundant number, since it is smaller than the sum of its proper divisors (173541144).

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

68444376 is a wasteful number, since it uses less digits than its factorization.

68444376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 73 counting only the distinct ones).

The product of its digits is 387072, while the sum is 42.

The square root of 68444376 is about 8273.1116274350. Note that the first 3 decimals coincide. The cubic root of 68444376 is about 409.0526929598.

It can be divided in two parts, 68 and 444376, that added together give a palindrome (444444).

The spelling of 68444376 in words is "sixty-eight million, four hundred forty-four thousand, three hundred seventy-six".