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340893696 = 2133111397
BaseRepresentation
bin10100010100011…
…010000000000000
3212202110012020110
4110110122000000
51144232044241
653454311320
711306356113
oct2424320000
9782405213
10340893696
11165475530
12961b8540
1355818360
14333ba57a
151edda816
hex1451a000

340893696 has 224 divisors, whose sum is σ = 1078918848. Its totient is φ = 94371840.

The previous prime is 340893689. The next prime is 340893719. The reversal of 340893696 is 696398043.

340893696 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3514320 + ... + 3514416.

It is an arithmetic number, because the mean of its divisors is an integer number (4816602).

Almost surely, 2340893696 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 340893696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539459424).

340893696 is an abundant number, since it is smaller than the sum of its proper divisors (738025152).

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

340893696 is a wasteful number, since it uses less digits than its factorization.

340893696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 48.

The square root of 340893696 is about 18463.3067460842. The cubic root of 340893696 is about 698.5641971068.

The spelling of 340893696 in words is "three hundred forty million, eight hundred ninety-three thousand, six hundred ninety-six".