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342430122572340 = 22351126315111305593
BaseRepresentation
bin100110111011100000011100…
…1110100001111101000110100
31122220110000000000020001010220
41031313000321310033220310
5324340333342334303330
63212142120541014340
7132061521441555405
oct11567007164175064
91586400000201126
10342430122572340
119a12188806a160
12324a53032543b0
131190c039451a7a
14607b9c63979ac
15298c5d76dd710
hex1377039d0fa34

342430122572340 has 192 divisors, whose sum is σ = 1050641113116672. Its totient is φ = 82642929126400.

The previous prime is 342430122572327. The next prime is 342430122572411. The reversal of 342430122572340 is 43275221034243.

It is a junction number, because it is equal to n+sod(n) for n = 342430122572292 and 342430122572301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 261626584 + ... + 262932176.

It is an arithmetic number, because the mean of its divisors is an integer number (5472089130816).

Almost surely, 2342430122572340 is an apocalyptic number.

342430122572340 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 342430122572340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525320556558336).

342430122572340 is an abundant number, since it is smaller than the sum of its proper divisors (708210990544332).

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

342430122572340 is a wasteful number, since it uses less digits than its factorization.

342430122572340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1307390 (or 1307388 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 42.

The spelling of 342430122572340 in words is "three hundred forty-two trillion, four hundred thirty billion, one hundred twenty-two million, five hundred seventy-two thousand, three hundred forty".