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342738439560 = 2334511171921567
BaseRepresentation
bin1001111110011001100…
…11011000110110001000
31012202200000211201010000
410333030303120312020
521103412020031220
6421241334123000
733522243445056
oct4771463306610
91182600751100
10342738439560
11122399a06530
12565124b0460
13264213360ba
14128352ab1d6
158dae7c0390
hex4fcccd8d88

342738439560 has 960 divisors, whose sum is σ = 1405246993920. Its totient is φ = 74037473280.

The previous prime is 342738439531. The next prime is 342738439573. The reversal of 342738439560 is 65934837243.

342738439560 is a `hidden beast` number, since 3 + 4 + 2 + 7 + 38 + 43 + 9 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 342738439497 and 342738439506.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 218721897 + ... + 218723463.

It is an arithmetic number, because the mean of its divisors is an integer number (1463798952).

Almost surely, 2342738439560 is an apocalyptic number.

342738439560 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 342738439560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (702623496960).

342738439560 is an abundant number, since it is smaller than the sum of its proper divisors (1062508554360).

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

342738439560 is a wasteful number, since it uses less digits than its factorization.

342738439560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1656 (or 1624 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 54.

The spelling of 342738439560 in words is "three hundred forty-two billion, seven hundred thirty-eight million, four hundred thirty-nine thousand, five hundred sixty".