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3228324 = 2231137661
BaseRepresentation
bin1100010100001010100100
320002000102120
430110022210
51311301244
6153105540
736304011
oct14241244
96060376
103228324
111905540
1210b82b0
13890568
14600708
1543b819
hex3142a4

3228324 has 48 divisors (see below), whose sum is σ = 8452416. Its totient is φ = 950400.

The previous prime is 3228293. The next prime is 3228341. The reversal of 3228324 is 4238223.

It is a d-powerful number, because it can be written as 310 + 2 + 219 + 8 + 312 + 221 + 47 .

It is a junction number, because it is equal to n+sod(n) for n = 3228294 and 3228303.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4554 + ... + 5214.

It is an arithmetic number, because the mean of its divisors is an integer number (176092).

Almost surely, 23228324 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 3228324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4226208).

3228324 is an abundant number, since it is smaller than the sum of its proper divisors (5224092).

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

3228324 is a wasteful number, since it uses less digits than its factorization.

3228324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 716 (or 714 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 3228324 is about 1796.7537393867. The cubic root of 3228324 is about 147.7947605602.

It can be divided in two parts, 322 and 8324, that added together give a triangular number (8646 = T131).

The spelling of 3228324 in words is "three million, two hundred twenty-eight thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 22 33 37 44 66 74 111 132 148 222 407 444 661 814 1221 1322 1628 1983 2442 2644 3966 4884 7271 7932 14542 21813 24457 29084 43626 48914 73371 87252 97828 146742 269027 293484 538054 807081 1076108 1614162 3228324