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3403820 = 225741593
BaseRepresentation
bin1100111111000000101100
320101221011102
430333000230
51332410240
6200542232
740634450
oct14770054
96357142
103403820
111a15382
121181978
139223c4
14648660
15473815
hex33f02c

3403820 has 48 divisors (see below), whose sum is σ = 8382528. Its totient is φ = 1136640.

The previous prime is 3403789. The next prime is 3403843. The reversal of 3403820 is 283043.

3403820 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 Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 3403792 and 3403801.

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 15 ways as a sum of consecutive naturals, for example, 5444 + ... + 6036.

It is an arithmetic number, because the mean of its divisors is an integer number (174636).

Almost surely, 23403820 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3403820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4191264).

3403820 is an abundant number, since it is smaller than the sum of its proper divisors (4978708).

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

3403820 is a wasteful number, since it uses less digits than its factorization.

3403820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 3403820 is about 1844.9444436080. The cubic root of 3403820 is about 150.4257533800.

Adding to 3403820 its reverse (283043), we get a palindrome (3686863).

The spelling of 3403820 in words is "three million, four hundred three thousand, eight hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 41 70 82 140 164 205 287 410 574 593 820 1148 1186 1435 2372 2870 2965 4151 5740 5930 8302 11860 16604 20755 24313 41510 48626 83020 97252 121565 170191 243130 340382 486260 680764 850955 1701910 3403820