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1081464384 = 2637111317331
BaseRepresentation
bin100000001110101…
…1101011001000000
32210100222002020110
41000131131121000
54203323330014
6255151311320
735541203250
oct10035353100
92710862213
101081464384
11505505220
1226221b540
13143090c70
14a38b5960
1564e23d59
hex4075d640

1081464384 has 448 divisors, whose sum is σ = 4080125952. Its totient is φ = 243302400.

The previous prime is 1081464383. The next prime is 1081464389. The reversal of 1081464384 is 4834641801.

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 (39).

It is not an unprimeable number, because it can be changed into a prime (1081464383) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3267099 + ... + 3267429.

It is an arithmetic number, because the mean of its divisors is an integer number (9107424).

Almost surely, 21081464384 is an apocalyptic number.

1081464384 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 1081464384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2040062976).

1081464384 is an abundant number, since it is smaller than the sum of its proper divisors (2998661568).

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

1081464384 is a wasteful number, since it uses less digits than its factorization.

1081464384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The square root of 1081464384 is about 32885.6257960830. The cubic root of 1081464384 is about 1026.4490736554.

The spelling of 1081464384 in words is "one billion, eighty-one million, four hundred sixty-four thousand, three hundred eighty-four".