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134334420 = 223511375501
BaseRepresentation
bin10000000000111…
…00011111010100
3100100202220011220
420000130133110
5233342200140
621155130340
73220552353
oct1000343724
9310686156
10134334420
1169912490
1238ba39b0
1321aa562c
1413bab99a
15bbd7bd0
hex801c7d4

134334420 has 96 divisors (see below), whose sum is σ = 421497216. Its totient is φ = 31680000.

The previous prime is 134334407. The next prime is 134334437. The reversal of 134334420 is 24433431.

It is a congruent number.

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, 21670 + ... + 27170.

It is an arithmetic number, because the mean of its divisors is an integer number (4390596).

Almost surely, 2134334420 is an apocalyptic number.

134334420 is a gapful number since it is divisible by the number (10) 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 134334420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210748608).

134334420 is an abundant number, since it is smaller than the sum of its proper divisors (287162796).

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

134334420 is a wasteful number, since it uses less digits than its factorization.

134334420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5561 (or 5559 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 134334420 is about 11590.2726456283. The cubic root of 134334420 is about 512.1483385697.

Adding to 134334420 its reverse (24433431), we get a palindrome (158767851).

The spelling of 134334420 in words is "one hundred thirty-four million, three hundred thirty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 37 44 55 60 66 74 110 111 132 148 165 185 220 222 330 370 407 444 555 660 740 814 1110 1221 1628 2035 2220 2442 4070 4884 5501 6105 8140 11002 12210 16503 22004 24420 27505 33006 55010 60511 66012 82515 110020 121022 165030 181533 203537 242044 302555 330060 363066 407074 605110 610611 726132 814148 907665 1017685 1210220 1221222 1815330 2035370 2238907 2442444 3053055 3630660 4070740 4477814 6106110 6716721 8955628 11194535 12212220 13433442 22389070 26866884 33583605 44778140 67167210 134334420