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342819840 = 21035112029
BaseRepresentation
bin10100011011110…
…000010000000000
3212220002001102010
4110123300100000
51200230213330
654003452520
711331630516
oct2433602000
9786061363
10342819840
11166570690
1296987140
1356040c9c
143375c4b6
152016b3b0
hex146f0400

342819840 has 176 divisors, whose sum is σ = 1196758080. Its totient is φ = 83066880.

The previous prime is 342819811. The next prime is 342819859. The reversal of 342819840 is 48918243.

It is a tau number, because it is divible by the number of its divisors (176).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 167946 + ... + 169974.

Almost surely, 2342819840 is an apocalyptic number.

342819840 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 342819840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (598379040).

342819840 is an abundant number, since it is smaller than the sum of its proper divisors (853938240).

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

342819840 is a wasteful number, since it uses less digits than its factorization.

342819840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2068 (or 2050 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 342819840 is about 18515.3946757826. The cubic root of 342819840 is about 699.8774207129.

The spelling of 342819840 in words is "three hundred forty-two million, eight hundred nineteen thousand, eight hundred forty".