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340224032 = 25191633433
BaseRepresentation
bin10100010001110…
…110100000100000
3212201012011122002
4110101312200200
51144044132112
653432103132
711300566541
oct2421664040
9781164562
10340224032
11165058395
1295b34aa8
13556425c5
14332844c8
151ed071c2
hex14476820

340224032 has 48 divisors (see below), whose sum is σ = 709601760. Its totient is φ = 160123392.

The previous prime is 340223957. The next prime is 340224091. The reversal of 340224032 is 230422043.

It is a junction number, because it is equal to n+sod(n) for n = 340223995 and 340224013.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 97388 + ... + 100820.

It is an arithmetic number, because the mean of its divisors is an integer number (14783370).

Almost surely, 2340224032 is an apocalyptic number.

340224032 is a gapful number since it is divisible by the number (32) 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 340224032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354800880).

340224032 is an abundant number, since it is smaller than the sum of its proper divisors (369377728).

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

340224032 is a wasteful number, since it uses less digits than its factorization.

340224032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3625 (or 3617 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 340224032 is about 18445.1628347380. The cubic root of 340224032 is about 698.1064689274.

Adding to 340224032 its reverse (230422043), we get a palindrome (570646075).

The spelling of 340224032 in words is "three hundred forty million, two hundred twenty-four thousand, thirty-two".

Divisors: 1 2 4 8 16 19 32 38 76 152 163 304 326 608 652 1304 2608 3097 3433 5216 6194 6866 12388 13732 24776 27464 49552 54928 65227 99104 109856 130454 260908 521816 559579 1043632 1119158 2087264 2238316 4476632 8953264 10632001 17906528 21264002 42528004 85056008 170112016 340224032