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1344843864 = 2333713219277
BaseRepresentation
bin101000000101000…
…1011000001011000
310110201120010222000
41100022023001120
510223240000424
6341240401000
745216661410
oct12012130130
93421503860
101344843864
11630147111
12316476160
13185809500
14ca875640
157d0ec3c9
hex5028b058

1344843864 has 384 divisors, whose sum is σ = 4883904000. Its totient is φ = 334803456.

The previous prime is 1344843859. The next prime is 1344843869. The reversal of 1344843864 is 4683484431.

1344843864 is a `hidden beast` number, since 134 + 484 + 38 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (1344843859) and next prime (1344843869).

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 (1344843869) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4854894 + ... + 4855170.

It is an arithmetic number, because the mean of its divisors is an integer number (12718500).

Almost surely, 21344843864 is an apocalyptic number.

1344843864 is a gapful number since it is divisible by the number (14) 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 1344843864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2441952000).

1344843864 is an abundant number, since it is smaller than the sum of its proper divisors (3539060136).

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

1344843864 is a wasteful number, since it uses less digits than its factorization.

1344843864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 321 counting only the distinct ones).

The product of its digits is 884736, while the sum is 45.

The square root of 1344843864 is about 36672.1128924964. The cubic root of 1344843864 is about 1103.8005901653.

The spelling of 1344843864 in words is "one billion, three hundred forty-four million, eight hundred forty-three thousand, eight hundred sixty-four".