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342010020 = 223511598783
BaseRepresentation
bin10100011000101…
…010100010100100
3212211112220112210
4110120222202210
51200023310040
653534243420
711322015522
oct2430524244
9784486483
10342010020
11166068210
1296656570
1355b194c1
14335cb312
152005b480
hex1462a8a4

342010020 has 96 divisors (see below), whose sum is σ = 1062512640. Its totient is φ = 81496960.

The previous prime is 342009989. The next prime is 342010033. The reversal of 342010020 is 20010243.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 342009978 and 342010005.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 34549 + ... + 43331.

It is an arithmetic number, because the mean of its divisors is an integer number (11067840).

Almost surely, 2342010020 is an apocalyptic number.

342010020 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 342010020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531256320).

342010020 is an abundant number, since it is smaller than the sum of its proper divisors (720502620).

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

342010020 is a wasteful number, since it uses less digits than its factorization.

342010020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8865 (or 8863 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 342010020 is about 18493.5129166960. The cubic root of 342010020 is about 699.3258952586.

Adding to 342010020 its reverse (20010243), we get a palindrome (362020263).

The spelling of 342010020 in words is "three hundred forty-two million, ten thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 59 60 66 110 118 132 165 177 220 236 295 330 354 590 649 660 708 885 1180 1298 1770 1947 2596 3245 3540 3894 6490 7788 8783 9735 12980 17566 19470 26349 35132 38940 43915 52698 87830 96613 105396 131745 175660 193226 263490 289839 386452 483065 518197 526980 579678 966130 1036394 1159356 1449195 1554591 1932260 2072788 2590985 2898390 3109182 5181970 5700167 5796780 6218364 7772955 10363940 11400334 15545910 17100501 22800668 28500835 31091820 34201002 57001670 68402004 85502505 114003340 171005010 342010020