Search a number
-
+
3223728 = 243261367
BaseRepresentation
bin1100010011000010110000
320001210010100
430103002300
51311124403
6153032400
736254424
oct14230260
96053110
103223728
111902042
1210b5700
1388b441
145dcb84
1543a2a3
hex3130b0

3223728 has 60 divisors (see below), whose sum is σ = 9194848. Its totient is φ = 1054080.

The previous prime is 3223709. The next prime is 3223729. The reversal of 3223728 is 8273223.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (3223729) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8601 + ... + 8967.

Almost surely, 23223728 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 3223728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4597424).

3223728 is an abundant number, since it is smaller than the sum of its proper divisors (5971120).

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

3223728 is a wasteful number, since it uses less digits than its factorization.

3223728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 433 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 3223728 is about 1795.4743105932. The cubic root of 3223728 is about 147.7245913001.

The spelling of 3223728 in words is "three million, two hundred twenty-three thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 61 72 122 144 183 244 366 367 488 549 732 734 976 1098 1101 1464 1468 2196 2202 2928 2936 3303 4392 4404 5872 6606 8784 8808 13212 17616 22387 26424 44774 52848 67161 89548 134322 179096 201483 268644 358192 402966 537288 805932 1074576 1611864 3223728