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3430404 = 2233231381
BaseRepresentation
bin1101000101100000000100
320110021122000
431011200010
51334233104
6201305300
741105115
oct15054004
96407560
103430404
111a3334a
121195230
13931533
1465420c
1547b639
hex345804

3430404 has 48 divisors (see below), whose sum is σ = 9287040. Its totient is φ = 1092960.

The previous prime is 3430403. The next prime is 3430423. The reversal of 3430404 is 4040343.

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

It is not an unprimeable number, because it can be changed into a prime (3430403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1794 + ... + 3174.

It is an arithmetic number, because the mean of its divisors is an integer number (193480).

Almost surely, 23430404 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 3430404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4643520).

3430404 is an abundant number, since it is smaller than the sum of its proper divisors (5856636).

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

3430404 is a wasteful number, since it uses less digits than its factorization.

3430404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1417 (or 1409 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 3430404 is about 1852.1349842817. The cubic root of 3430404 is about 150.8163491012.

Adding to 3430404 its reverse (4040343), we get a palindrome (7470747).

The spelling of 3430404 in words is "three million, four hundred thirty thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 92 108 138 207 276 414 621 828 1242 1381 2484 2762 4143 5524 8286 12429 16572 24858 31763 37287 49716 63526 74574 95289 127052 149148 190578 285867 381156 571734 857601 1143468 1715202 3430404