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1344634668 = 22361379449
BaseRepresentation
bin101000000100101…
…0111111100101100
310110201011112000000
41100021113330230
510223211302133
6341232104300
745215130456
oct12011277454
93421145000
101344634668
11630013a23
12316395090
13185765220
14ca81d2d6
157d0aa413
hex50257f2c

1344634668 has 168 divisors, whose sum is σ = 3856104000. Its totient is φ = 407586816.

The previous prime is 1344634663. The next prime is 1344634673. The reversal of 1344634668 is 8664364431.

It is a happy number.

1344634668 is a `hidden beast` number, since 1 + 3 + 4 + 4 + 634 + 6 + 6 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (1344634663) and next prime (1344634673).

It is not an unprimeable number, because it can be changed into a prime (1344634663) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2994508 + ... + 2994956.

It is an arithmetic number, because the mean of its divisors is an integer number (22953000).

Almost surely, 21344634668 is an apocalyptic number.

1344634668 is a gapful number since it is divisible by the number (18) 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 1344634668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1928052000).

1344634668 is an abundant number, since it is smaller than the sum of its proper divisors (2511469332).

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

1344634668 is a wasteful number, since it uses less digits than its factorization.

1344634668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563 (or 546 counting only the distinct ones).

The product of its digits is 995328, while the sum is 45.

The square root of 1344634668 is about 36669.2605324951. The cubic root of 1344634668 is about 1103.7433536219.

The spelling of 1344634668 in words is "one billion, three hundred forty-four million, six hundred thirty-four thousand, six hundred sixty-eight".