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340680816 = 2434717472
BaseRepresentation
bin10100010011100…
…110000001110000
3212202001101020000
4110103212001300
51144203241231
653445550000
711304511350
oct2423460160
9782041200
10340680816
1116533a5a3
1296115300
13557724a8
1433362b60
151ed976e6
hex144e6070

340680816 has 300 divisors, whose sum is σ = 1219105008. Its totient is φ = 89662464.

The previous prime is 340680803. The next prime is 340680817. The reversal of 340680816 is 618086043.

It is a happy number.

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 (340680817) 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 59 ways as a sum of consecutive naturals, for example, 7248505 + ... + 7248551.

Almost surely, 2340680816 is an apocalyptic number.

340680816 is a gapful number since it is divisible by the number (36) 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 340680816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609552504).

340680816 is an abundant number, since it is smaller than the sum of its proper divisors (878424192).

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

340680816 is a wasteful number, since it uses less digits than its factorization.

340680816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 340680816 is about 18457.5408979636. The cubic root of 340680816 is about 698.4187545890.

The spelling of 340680816 in words is "three hundred forty million, six hundred eighty thousand, eight hundred sixteen".