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340488720 = 2432511133307
BaseRepresentation
bin10100010010110…
…111001000010000
3212201200121201100
4110102313020100
51144131114340
653441504400
711303051325
oct2422671020
9781617640
10340488720
11165219240
1296042100
1355705c20
1433312b4c
151ed5a830
hex144b7210

340488720 has 240 divisors, whose sum is σ = 1343788992. Its totient is φ = 76170240.

The previous prime is 340488679. The next prime is 340488751. The reversal of 340488720 is 27884043.

340488720 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 101307 + ... + 104613.

Almost surely, 2340488720 is an apocalyptic number.

340488720 is a gapful number since it is divisible by the number (30) 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 340488720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671894496).

340488720 is an abundant number, since it is smaller than the sum of its proper divisors (1003300272).

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

340488720 is a wasteful number, since it uses less digits than its factorization.

340488720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3350 (or 3341 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 340488720 is about 18452.3364374271. The cubic root of 340488720 is about 698.2874599704.

The spelling of 340488720 in words is "three hundred forty million, four hundred eighty-eight thousand, seven hundred twenty".