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3822420 = 2235719479
BaseRepresentation
bin1110100101001101010100
321012012101010
432211031110
51434304140
6213532220
744330040
oct16451524
97165333
103822420
112180928
121344070
13a3aab4
14717020
15507880
hex3a5354

3822420 has 96 divisors (see below), whose sum is σ = 12902400. Its totient is φ = 825984.

The previous prime is 3822419. The next prime is 3822421. The reversal of 3822420 is 242283.

3822420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3822419) and next prime (3822421).

It is a super-2 number, since 2×38224202 = 29221789312800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3822421) 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, 7741 + ... + 8219.

It is an arithmetic number, because the mean of its divisors is an integer number (134400).

Almost surely, 23822420 is an apocalyptic number.

3822420 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 3822420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6451200).

3822420 is an abundant number, since it is smaller than the sum of its proper divisors (9079980).

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

3822420 is a wasteful number, since it uses less digits than its factorization.

3822420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 3822420 is about 1955.1010204079. The cubic root of 3822420 is about 156.3553699925.

The spelling of 3822420 in words is "three million, eight hundred twenty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 19 20 21 28 30 35 38 42 57 60 70 76 84 95 105 114 133 140 190 210 228 266 285 380 399 420 479 532 570 665 798 958 1140 1330 1437 1596 1916 1995 2395 2660 2874 3353 3990 4790 5748 6706 7185 7980 9101 9580 10059 13412 14370 16765 18202 20118 27303 28740 33530 36404 40236 45505 50295 54606 63707 67060 91010 100590 109212 127414 136515 182020 191121 201180 254828 273030 318535 382242 546060 637070 764484 955605 1274140 1911210 3822420