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342385008 = 2437672227
BaseRepresentation
bin10100011010000…
…110000101110000
3212212020221221020
4110122012011300
51200122310013
653550255440
711325140010
oct2432060560
9785227836
10342385008
111662a3a19
12967b7580
1355c1b0a4
1433687c40
15200d2623
hex14686170

342385008 has 120 divisors (see below), whose sum is σ = 1030684032. Its totient is φ = 95939712.

The previous prime is 342385007. The next prime is 342385031. The reversal of 342385008 is 800583243.

It is a self number, because there is not a number n which added to its sum of digits gives 342385008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342385007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1508191 + ... + 1508417.

Almost surely, 2342385008 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 342385008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515342016).

342385008 is an abundant number, since it is smaller than the sum of its proper divisors (688299024).

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

342385008 is a wasteful number, since it uses less digits than its factorization.

342385008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 342385008 is about 18503.6485050922. The cubic root of 342385008 is about 699.5813878078.

The spelling of 342385008 in words is "three hundred forty-two million, three hundred eighty-five thousand, eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 67 84 112 134 168 201 227 268 336 402 454 469 536 681 804 908 938 1072 1362 1407 1589 1608 1816 1876 2724 2814 3178 3216 3632 3752 4489 4767 5448 5628 6356 7504 8978 9534 10896 11256 12712 13467 15209 17956 19068 22512 25424 26934 30418 31423 35912 38136 45627 53868 60836 62846 71824 76272 91254 94269 106463 107736 121672 125692 182508 188538 212926 215472 243344 251384 319389 365016 377076 425852 502768 638778 730032 754152 851704 1019003 1277556 1508304 1703408 2038006 2555112 3057009 4076012 5110224 6114018 7133021 8152024 12228036 14266042 16304048 21399063 24456072 28532084 42798126 48912144 57064168 85596252 114128336 171192504 342385008