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344664936 = 2333711172353
BaseRepresentation
bin10100100010110…
…010101101101000
3220000112210102000
4110202302231220
51201213234221
654111211000
711353414020
oct2442625550
9800483360
10344664936
11167610960
1297516a60
1356538a65
1433abca80
15203d2e26
hex148b2b68

344664936 has 512 divisors, whose sum is σ = 1343692800. Its totient is φ = 79073280.

The previous prime is 344664911. The next prime is 344664937. The reversal of 344664936 is 639466443.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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 = 344664891 and 344664900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344664937) 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 127 ways as a sum of consecutive naturals, for example, 6503086 + ... + 6503138.

It is an arithmetic number, because the mean of its divisors is an integer number (2624400).

Almost surely, 2344664936 is an apocalyptic number.

344664936 is a gapful number since it is divisible by the number (36) 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 344664936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671846400).

344664936 is an abundant number, since it is smaller than the sum of its proper divisors (999027864).

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

344664936 is a wasteful number, since it uses less digits than its factorization.

344664936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 116 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 45.

The square root of 344664936 is about 18565.1538102974. The cubic root of 344664936 is about 701.1307818721.

The spelling of 344664936 in words is "three hundred forty-four million, six hundred sixty-four thousand, nine hundred thirty-six".