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4345216820 = 2257197315731
BaseRepresentation
bin1000000101111111…
…01011111100110100
3102012211021212220022
410002333223330310
532344333414240
61555101024312
7212451506420
oct40277537464
912184255808
104345216820
11192a84178a
12a13255098
135432c1719
142d3137b80
151a67169b5
hex102febf34

4345216820 has 48 divisors (see below), whose sum is σ = 10434469248. Its totient is φ = 1488938880.

The previous prime is 4345216817. The next prime is 4345216873. The reversal of 4345216820 is 286125434.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 268355 + ... + 284085.

It is an arithmetic number, because the mean of its divisors is an integer number (217384776).

Almost surely, 24345216820 is an apocalyptic number.

It is an amenable number.

4345216820 is an abundant number, since it is smaller than the sum of its proper divisors (6089252428).

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

4345216820 is a wasteful number, since it uses less digits than its factorization.

4345216820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17720 (or 17718 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 35.

The square root of 4345216820 is about 65918.2586238441. The cubic root of 4345216820 is about 1631.8133582253.

The spelling of 4345216820 in words is "four billion, three hundred forty-five million, two hundred sixteen thousand, eight hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 1973 3946 7892 9865 13811 15731 19730 27622 31462 39460 55244 62924 69055 78655 110117 138110 157310 220234 276220 314620 440468 550585 1101170 2202340 31037263 62074526 124149052 155186315 217260841 310372630 434521682 620745260 869043364 1086304205 2172608410 4345216820