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3426324 = 22311101257
BaseRepresentation
bin1101000100100000010100
320110002000220
431010200110
51334120244
6201234340
741060166
oct15044024
96402026
103426324
111a30280
1211929b0
1392c715
14652936
1547a319
hex344814

3426324 has 48 divisors (see below), whose sum is σ = 8842176. Its totient is φ = 1024000.

The previous prime is 3426317. The next prime is 3426343. The reversal of 3426324 is 4236243.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a d-powerful number, because it can be written as 3 + 43 + 29 + 67 + 34 + 221 + 410 .

It is a junction number, because it is equal to n+sod(n) for n = 3426294 and 3426303.

It is a congruent number.

It is an unprimeable number.

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, 13204 + ... + 13460.

It is an arithmetic number, because the mean of its divisors is an integer number (184212).

Almost surely, 23426324 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 3426324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4421088).

3426324 is an abundant number, since it is smaller than the sum of its proper divisors (5415852).

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

3426324 is a wasteful number, since it uses less digits than its factorization.

3426324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 374 counting only the distinct ones).

The product of its digits is 3456, while the sum is 24.

The square root of 3426324 is about 1851.0332249854. The cubic root of 3426324 is about 150.7565335210.

It can be divided in two parts, 342 and 6324, that added together give a palindrome (6666).

The spelling of 3426324 in words is "three million, four hundred twenty-six thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 101 132 202 257 303 404 514 606 771 1028 1111 1212 1542 2222 2827 3084 3333 4444 5654 6666 8481 11308 13332 16962 25957 33924 51914 77871 103828 155742 285527 311484 571054 856581 1142108 1713162 3426324