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340696320 = 2835172307
BaseRepresentation
bin10100010011101…
…001110100000000
3212202002011111020
4110103221310000
51144204240240
653450145440
711304604506
oct2423516400
9782064436
10340696320
11165350208
1296122280
1355779573
1433368676
151ed9c0d0
hex144e9d00

340696320 has 216 divisors, whose sum is σ = 1159634784. Its totient is φ = 85229568.

The previous prime is 340696319. The next prime is 340696327. The reversal of 340696320 is 23696043.

340696320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340696327) 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, 1109607 + ... + 1109913.

Almost surely, 2340696320 is an apocalyptic number.

340696320 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 340696320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579817392).

340696320 is an abundant number, since it is smaller than the sum of its proper divisors (818938464).

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

340696320 is a wasteful number, since it uses less digits than its factorization.

340696320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 33.

The square root of 340696320 is about 18457.9608841280. The cubic root of 340696320 is about 698.4293491784.

The spelling of 340696320 in words is "three hundred forty million, six hundred ninety-six thousand, three hundred twenty".