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1318969344 = 21337111741
BaseRepresentation
bin100111010011101…
…1110000000000000
310101220212120210110
41032213132000000
510200124004334
6334514031320
744454024450
oct11647360000
93356776713
101318969344
11617584210
12309878540
1318034a244
14c725bd60
157abdaae9
hex4e9de000

1318969344 has 448 divisors, whose sum is σ = 4756050432. Its totient is φ = 314572800.

The previous prime is 1318969313. The next prime is 1318969357. The reversal of 1318969344 is 4439698131.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (48).

Its product of digits (559872) is a multiple of the sum of its prime divisors (81).

It is a junction number, because it is equal to n+sod(n) for n = 1318969293 and 1318969302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32169964 + ... + 32170004.

It is an arithmetic number, because the mean of its divisors is an integer number (10616184).

Almost surely, 21318969344 is an apocalyptic number.

1318969344 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 1318969344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2378025216).

1318969344 is an abundant number, since it is smaller than the sum of its proper divisors (3437081088).

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

1318969344 is a wasteful number, since it uses less digits than its factorization.

1318969344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 81 counting only the distinct ones).

The product of its digits is 559872, while the sum is 48.

The square root of 1318969344 is about 36317.6175430052. The cubic root of 1318969344 is about 1096.6757336838.

The spelling of 1318969344 in words is "one billion, three hundred eighteen million, nine hundred sixty-nine thousand, three hundred forty-four".