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34542420 = 223511199263
BaseRepresentation
bin1000001111000…
…1001101010100
32101222221021220
42003301031110
532320324140
63232210340
7566414523
oct203611524
971887256
1034542420
1118553260
12b6999b0
137205703
1448324ba
153074bd0
hex20f1354

34542420 has 96 divisors (see below), whose sum is σ = 106444800. Its totient is φ = 8300160.

The previous prime is 34542383. The next prime is 34542421. The reversal of 34542420 is 2424543.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34542421) 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 31 ways as a sum of consecutive naturals, for example, 131209 + ... + 131471.

It is an arithmetic number, because the mean of its divisors is an integer number (1108800).

Almost surely, 234542420 is an apocalyptic number.

34542420 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 34542420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53222400).

34542420 is an abundant number, since it is smaller than the sum of its proper divisors (71902380).

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

34542420 is a wasteful number, since it uses less digits than its factorization.

34542420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 34542420 is about 5877.2799831214. The cubic root of 34542420 is about 325.6748737653.

Adding to 34542420 its reverse (2424543), we get a palindrome (36966963).

The spelling of 34542420 in words is "thirty-four million, five hundred forty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 199 220 263 330 398 526 597 660 789 796 995 1052 1194 1315 1578 1990 2189 2388 2630 2893 2985 3156 3945 3980 4378 5260 5786 5970 6567 7890 8679 8756 10945 11572 11940 13134 14465 15780 17358 21890 26268 28930 32835 34716 43395 43780 52337 57860 65670 86790 104674 131340 157011 173580 209348 261685 314022 523370 575707 628044 785055 1046740 1151414 1570110 1727121 2302828 2878535 3140220 3454242 5757070 6908484 8635605 11514140 17271210 34542420