Search a number
-
+
749931336 = 23327111773109
BaseRepresentation
bin101100101100110…
…000101101001000
31221021010110101200
4230230300231020
53013440300321
6202225344200
724404211510
oct5454605510
91837113350
10749931336
11355353570
1218b198060
13bc4a246b
1471854840
1545c86d26
hex2cb30b48

749931336 has 384 divisors, whose sum is σ = 2742854400. Its totient is φ = 179159040.

The previous prime is 749931331. The next prime is 749931367. The reversal of 749931336 is 633139947.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 749931291 and 749931300.

It is not an unprimeable number, because it can be changed into a prime (749931331) 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 95 ways as a sum of consecutive naturals, for example, 6880050 + ... + 6880158.

It is an arithmetic number, because the mean of its divisors is an integer number (7142850).

Almost surely, 2749931336 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 749931336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1371427200).

749931336 is an abundant number, since it is smaller than the sum of its proper divisors (1992923064).

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

749931336 is a wasteful number, since it uses less digits than its factorization.

749931336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 222 counting only the distinct ones).

The product of its digits is 367416, while the sum is 45.

The square root of 749931336 is about 27384.8742191744. The cubic root of 749931336 is about 908.5325687325.

The spelling of 749931336 in words is "seven hundred forty-nine million, nine hundred thirty-one thousand, three hundred thirty-six".