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714431952 = 243213231947
BaseRepresentation
bin101010100101010…
…101110111010000
31211210022220101200
4222211111313100
52430343310302
6154520431200
723463366663
oct5245256720
91753286350
10714431952
11337307333
1217b318500
13b5023300
146ac536da
1542ac381c
hex2a955dd0

714431952 has 180 divisors, whose sum is σ = 2237249664. Its totient is φ = 212509440.

The previous prime is 714431951. The next prime is 714431959. The reversal of 714431952 is 259134417.

714431952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (714431951) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 753943 + ... + 754889.

Almost surely, 2714431952 is an apocalyptic number.

714431952 is a gapful number since it is divisible by the number (72) 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 714431952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1118624832).

714431952 is an abundant number, since it is smaller than the sum of its proper divisors (1522817712).

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

714431952 is a wasteful number, since it uses less digits than its factorization.

714431952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1018 (or 996 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 714431952 is about 26728.8599083463. The cubic root of 714431952 is about 893.9645347251.

The spelling of 714431952 in words is "seven hundred fourteen million, four hundred thirty-one thousand, nine hundred fifty-two".