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342505420 = 225237110487
BaseRepresentation
bin10100011010100…
…011011111001100
3212212111002002221
4110122203133030
51200140133140
653553025124
711326151035
oct2432433714
9785432087
10342505420
11166376434
12968551a4
1355c60b3a
14336b9a8c
152010814a
hex146a37cc

342505420 has 48 divisors (see below), whose sum is σ = 761177088. Its totient is φ = 129187520.

The previous prime is 342505379. The next prime is 342505439. The reversal of 342505420 is 24505243.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27417 + ... + 37903.

It is an arithmetic number, because the mean of its divisors is an integer number (15857856).

Almost surely, 2342505420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 342505420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380588544).

342505420 is an abundant number, since it is smaller than the sum of its proper divisors (418671668).

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

342505420 is a wasteful number, since it uses less digits than its factorization.

342505420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10590 (or 10588 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 25.

The square root of 342505420 is about 18506.9019557569. The cubic root of 342505420 is about 699.6633891794.

The spelling of 342505420 in words is "three hundred forty-two million, five hundred five thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 23 46 71 92 115 142 230 284 355 460 710 1420 1633 3266 6532 8165 10487 16330 20974 32660 41948 52435 104870 209740 241201 482402 744577 964804 1206005 1489154 2412010 2978308 3722885 4824020 7445770 14891540 17125271 34250542 68501084 85626355 171252710 342505420