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342890496 = 211351353
BaseRepresentation
bin10100011100000…
…001100000000000
3212220012122100000
4110130001200000
51200234443441
654005200000
711332343514
oct2434014000
9786178300
10342890496
11166609783
1296a00000
13560671b0
143377a144
15201822b6
hex14701800

342890496 has 288 divisors, whose sum is σ = 1126878480. Its totient is φ = 103514112.

The previous prime is 342890447. The next prime is 342890497. The reversal of 342890496 is 694098243.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342890497) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 6469606 + ... + 6469658.

Almost surely, 2342890496 is an apocalyptic number.

342890496 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 342890496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563439240).

342890496 is an abundant number, since it is smaller than the sum of its proper divisors (783987984).

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

342890496 is an equidigital number, since it uses as much as digits as its factorization.

342890496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 342890496 is about 18517.3026113416. The cubic root of 342890496 is about 699.9254995543.

The spelling of 342890496 in words is "three hundred forty-two million, eight hundred ninety thousand, four hundred ninety-six".