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444212340 = 22351113232251
BaseRepresentation
bin11010011110100…
…010010001110100
31010221212022202220
4122132202101310
51402204243330
6112025002340
714002512465
oct3236422164
91127768686
10444212340
11208823340
121049233b0
1371051550
1442dd2d6c
1528ee8710
hex1a7a2474

444212340 has 192 divisors, whose sum is σ = 1525450752. Its totient is φ = 95040000.

The previous prime is 444212311. The next prime is 444212371. The reversal of 444212340 is 43212444.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 444212340.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 196215 + ... + 198465.

It is an arithmetic number, because the mean of its divisors is an integer number (7945056).

Almost surely, 2444212340 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 444212340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (762725376).

444212340 is an abundant number, since it is smaller than the sum of its proper divisors (1081238412).

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

444212340 is a wasteful number, since it uses less digits than its factorization.

444212340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2310 (or 2308 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 444212340 is about 21076.3455086502. The cubic root of 444212340 is about 763.0099586048.

Adding to 444212340 its reverse (43212444), we get a palindrome (487424784).

The spelling of 444212340 in words is "four hundred forty-four million, two hundred twelve thousand, three hundred forty".