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342428786280 = 2335573125237
BaseRepresentation
bin1001111101110100101…
…10001001111001101000
31012201212110011200200000
410332322112021321220
521102243232130110
6421150513143000
733511463441610
oct4767226117150
91181773150600
10342428786280
11122250139429
125644685aa60
13263a21384c9
1412806103a40
158d925061c0
hex4fba589e68

342428786280 has 576 divisors, whose sum is σ = 1363165614720. Its totient is φ = 75730152960.

The previous prime is 342428786263. The next prime is 342428786291. The reversal of 342428786280 is 82687824243.

342428786280 is a `hidden beast` number, since 3 + 4 + 2 + 4 + 2 + 8 + 7 + 8 + 628 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 65383822 + ... + 65389058.

It is an arithmetic number, because the mean of its divisors is an integer number (2366606970).

Almost surely, 2342428786280 is an apocalyptic number.

342428786280 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 342428786280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (681582807360).

342428786280 is an abundant number, since it is smaller than the sum of its proper divisors (1020736828440).

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

342428786280 is a wasteful number, since it uses less digits than its factorization.

342428786280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5332 (or 5285 counting only the distinct ones).

The product of its (nonzero) digits is 8257536, while the sum is 54.

The spelling of 342428786280 in words is "three hundred forty-two billion, four hundred twenty-eight million, seven hundred eighty-six thousand, two hundred eighty".