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340187328 = 263213181251
BaseRepresentation
bin10100010001101…
…101100011000000
3212201010022021200
4110101231203000
51144041443303
653431221200
711300354535
oct2421554300
9781108250
10340187328
11165032858
1295b17800
135562b9a0
1433274d8c
151eceb3a3
hex1446d8c0

340187328 has 168 divisors, whose sum is σ = 1060100496. Its totient is φ = 103680000.

The previous prime is 340187321. The next prime is 340187329. The reversal of 340187328 is 823781043.

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

It is a junction number, because it is equal to n+sod(n) for n = 340187292 and 340187301.

It is not an unprimeable number, because it can be changed into a prime (340187321) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1355203 + ... + 1355453.

It is an arithmetic number, because the mean of its divisors is an integer number (6310122).

Almost surely, 2340187328 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 340187328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530050248).

340187328 is an abundant number, since it is smaller than the sum of its proper divisors (719913168).

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

340187328 is a wasteful number, since it uses less digits than its factorization.

340187328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 340187328 is about 18444.1678587027. The cubic root of 340187328 is about 698.0813636841.

The spelling of 340187328 in words is "three hundred forty million, one hundred eighty-seven thousand, three hundred twenty-eight".