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3436020 = 223557101
BaseRepresentation
bin1101000110110111110100
320110120100000
431012313310
51334423040
6201351300
741130360
oct15066764
96416300
103436020
111a37595
121198530
13933c63
146562a0
1547d130
hex346df4

3436020 has 144 divisors (see below), whose sum is σ = 12475008. Its totient is φ = 777600.

The previous prime is 3436019. The next prime is 3436021. The reversal of 3436020 is 206343.

It is an interprime number because it is at equal distance from previous prime (3436019) and next prime (3436021).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3435984 and 3436002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3436021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33970 + ... + 34070.

It is an arithmetic number, because the mean of its divisors is an integer number (86632).

Almost surely, 23436020 is an apocalyptic number.

3436020 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 3436020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6237504).

3436020 is an abundant number, since it is smaller than the sum of its proper divisors (9038988).

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

3436020 is a wasteful number, since it uses less digits than its factorization.

3436020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 3436020 is about 1853.6504524856. The cubic root of 3436020 is about 150.8986059656.

The spelling of 3436020 in words is "three million, four hundred thirty-six thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 81 84 90 101 105 108 126 135 140 162 180 189 202 210 243 252 270 303 315 324 378 404 405 420 486 505 540 567 606 630 707 756 810 909 945 972 1010 1134 1212 1215 1260 1414 1515 1620 1701 1818 1890 2020 2121 2268 2430 2727 2828 2835 3030 3402 3535 3636 3780 4242 4545 4860 5454 5670 6060 6363 6804 7070 8181 8484 8505 9090 10605 10908 11340 12726 13635 14140 16362 17010 18180 19089 21210 24543 25452 27270 31815 32724 34020 38178 40905 42420 49086 54540 57267 63630 76356 81810 95445 98172 114534 122715 127260 163620 171801 190890 229068 245430 286335 343602 381780 490860 572670 687204 859005 1145340 1718010 3436020