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714489984 = 2736131931
BaseRepresentation
bin101010100101100…
…100000010000000
31211210102212000000
4222211210002000
52430402134414
6154522000000
723464031115
oct5245440200
91753385000
10714489984
1133734699a
1217b346000
13b5043850
146ac6a90c
1542ad5b09
hex2a964080

714489984 has 448 divisors, whose sum is σ = 2497286400. Its totient is φ = 201553920.

The previous prime is 714489977. The next prime is 714490001. The reversal of 714489984 is 489984417.

714489984 is a `hidden beast` number, since 71 + 4 + 489 + 98 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 714489984.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 23048049 + ... + 23048079.

It is an arithmetic number, because the mean of its divisors is an integer number (5574300).

Almost surely, 2714489984 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 714489984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1248643200).

714489984 is an abundant number, since it is smaller than the sum of its proper divisors (1782796416).

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

714489984 is a wasteful number, since it uses less digits than its factorization.

714489984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 68 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 54.

The square root of 714489984 is about 26729.9454544898. The cubic root of 714489984 is about 893.9887391041.

The spelling of 714489984 in words is "seven hundred fourteen million, four hundred eighty-nine thousand, nine hundred eighty-four".