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342485640 = 2332571923311
BaseRepresentation
bin10100011010011…
…110101010001000
3212212110001222100
4110122132222020
51200134020030
653552353400
711326036260
oct2432365210
9785401870
10342485640
11166362592
1296845860
1355c54b33
14336b27a0
1520102360
hex1469ea88

342485640 has 384 divisors, whose sum is σ = 1401753600. Its totient is φ = 70709760.

The previous prime is 342485623. The next prime is 342485651. The reversal of 342485640 is 46584243.

342485640 is a `hidden beast` number, since 3 + 4 + 2 + 4 + 8 + 5 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 342485595 and 342485604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1101085 + ... + 1101395.

It is an arithmetic number, because the mean of its divisors is an integer number (3650400).

Almost surely, 2342485640 is an apocalyptic number.

342485640 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 342485640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (700876800).

342485640 is an abundant number, since it is smaller than the sum of its proper divisors (1059267960).

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

342485640 is a wasteful number, since it uses less digits than its factorization.

342485640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 342485640 is about 18506.3675528181. The cubic root of 342485640 is about 699.6499201875.

The spelling of 342485640 in words is "three hundred forty-two million, four hundred eighty-five thousand, six hundred forty".