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3823380 = 22325111931
BaseRepresentation
bin1110100101011100010100
321012020200200
432211130110
51434322010
6213540500
744332611
oct16453424
97166620
103823380
112181620
121344730
13a3b372
14717508
15507cc0
hex3a5714

3823380 has 72 divisors (see below), whose sum is σ = 12658464. Its totient is φ = 926400.

The previous prime is 3823349. The next prime is 3823399. The reversal of 3823380 is 833283.

3823380 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

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 23 ways as a sum of consecutive naturals, for example, 1015 + ... + 2945.

It is an arithmetic number, because the mean of its divisors is an integer number (175812).

Almost surely, 23823380 is an apocalyptic number.

3823380 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 3823380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6329232).

3823380 is an abundant number, since it is smaller than the sum of its proper divisors (8835084).

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

3823380 is a wasteful number, since it uses less digits than its factorization.

3823380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1957 (or 1952 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 3823380 is about 1955.3465166052. The cubic root of 3823380 is about 156.3684584366.

The spelling of 3823380 in words is "three million, eight hundred twenty-three thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1931 1980 3862 5793 7724 9655 11586 17379 19310 21241 23172 28965 34758 38620 42482 57930 63723 69516 84964 86895 106205 115860 127446 173790 191169 212410 254892 318615 347580 382338 424820 637230 764676 955845 1274460 1911690 3823380