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342805608 = 2334717451
BaseRepresentation
bin10100011011101…
…100110001101000
3212220001022220000
4110123230301220
51200224234413
654003303000
711331541155
oct2433546150
9786038800
10342805608
11166560a22
129697aa60
1356037672
143375722c
1520167073
hex146ecc68

342805608 has 80 divisors (see below), whose sum is σ = 973827360. Its totient is φ = 112644000.

The previous prime is 342805601. The next prime is 342805609. The reversal of 342805608 is 806508243.

342805608 is a `hidden beast` number, since 3 + 42 + 8 + 0 + 5 + 608 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (342805601) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 42283 + ... + 49733.

It is an arithmetic number, because the mean of its divisors is an integer number (12172842).

Almost surely, 2342805608 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 342805608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486913680).

342805608 is an abundant number, since it is smaller than the sum of its proper divisors (631021752).

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

342805608 is a wasteful number, since it uses less digits than its factorization.

342805608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7540 (or 7527 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 342805608 is about 18515.0103429623. The cubic root of 342805608 is about 699.8677355545.

The spelling of 342805608 in words is "three hundred forty-two million, eight hundred five thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 71 72 81 108 142 162 213 216 284 324 426 568 639 648 852 1278 1704 1917 2556 3834 5112 5751 7451 7668 11502 14902 15336 22353 23004 29804 44706 46008 59608 67059 89412 134118 178824 201177 268236 402354 529021 536472 603531 804708 1058042 1207062 1587063 1609416 2116084 2414124 3174126 4232168 4761189 4828248 6348252 9522378 12696504 14283567 19044756 28567134 38089512 42850701 57134268 85701402 114268536 171402804 342805608