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342692052480 = 2931052267
BaseRepresentation
bin1001111110010100000…
…10011011111000000000
31012202112210120000000000
410333022002123320000
521103313131134410
6421233000000000
733521141245551
oct4771202337000
91182483500000
10342692052480
111223758031a8
12564baa60000
132641484431b
141282d074328
158daa6aadc0
hex4fca09be00

342692052480 has 440 divisors, whose sum is σ = 1233023315832. Its totient is φ = 91344236544.

The previous prime is 342692052467. The next prime is 342692052487. The reversal of 342692052480 is 84250296243.

342692052480 is a `hidden beast` number, since 3 + 4 + 26 + 9 + 20 + 524 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342692052487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 43 ways as a sum of consecutive naturals, for example, 151164307 + ... + 151166573.

Almost surely, 2342692052480 is an apocalyptic number.

342692052480 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 342692052480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616511657916).

342692052480 is an abundant number, since it is smaller than the sum of its proper divisors (890331263352).

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

342692052480 is an frugal number, since it uses more digits than its factorization.

342692052480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2320 (or 2277 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 342692052480 in words is "three hundred forty-two billion, six hundred ninety-two million, fifty-two thousand, four hundred eighty".