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3423640 = 2351131251
BaseRepresentation
bin1101000011110110011000
320102221100111
431003312120
51334024030
6201214104
741046313
oct15036630
96387314
103423640
111a29260
121191334
1392b42c
1465197a
1547962a
hex343d98

3423640 has 64 divisors (see below), whose sum is σ = 8709120. Its totient is φ = 1200000.

The previous prime is 3423631. The next prime is 3423643. The reversal of 3423640 is 463243.

3423640 is digitally balanced in base 2, because in such base 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 (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3423643) 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 15 ways as a sum of consecutive naturals, for example, 13515 + ... + 13765.

It is an arithmetic number, because the mean of its divisors is an integer number (136080).

Almost surely, 23423640 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 3423640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4354560).

3423640 is an abundant number, since it is smaller than the sum of its proper divisors (5285480).

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

3423640 is a wasteful number, since it uses less digits than its factorization.

3423640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 3423640 is about 1850.3080824555. The cubic root of 3423640 is about 150.7171583542.

Adding to 3423640 its reverse (463243), we get a palindrome (3886883).

The spelling of 3423640 in words is "three million, four hundred twenty-three thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 31 40 44 55 62 88 110 124 155 220 248 251 310 341 440 502 620 682 1004 1240 1255 1364 1705 2008 2510 2728 2761 3410 5020 5522 6820 7781 10040 11044 13640 13805 15562 22088 27610 31124 38905 55220 62248 77810 85591 110440 155620 171182 311240 342364 427955 684728 855910 1711820 3423640