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3225744 = 243419131
BaseRepresentation
bin1100010011100010010000
320001212220000
430103202100
51311210434
6153050000
736263334
oct14234220
96055800
103225744
111903605
1210b6900
1388c332
145dd7c4
1543ab99
hex313890

3225744 has 100 divisors (see below), whose sum is σ = 9902640. Its totient is φ = 1010880.

The previous prime is 3225737. The next prime is 3225749. The reversal of 3225744 is 4475223.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (3225749) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 24559 + ... + 24689.

Almost surely, 23225744 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 3225744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4951320).

3225744 is an abundant number, since it is smaller than the sum of its proper divisors (6676896).

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

3225744 is a wasteful number, since it uses less digits than its factorization.

3225744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 155 counting only the distinct ones).

The product of its digits is 6720, while the sum is 27.

The square root of 3225744 is about 1796.0356343904. The cubic root of 3225744 is about 147.7553787111.

It can be divided in two parts, 3225 and 744, that added together give a square (3969 = 632).

The spelling of 3225744 in words is "three million, two hundred twenty-five thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 48 54 57 72 76 81 108 114 131 144 152 162 171 216 228 262 304 324 342 393 432 456 513 524 648 684 786 912 1026 1048 1179 1296 1368 1539 1572 2052 2096 2358 2489 2736 3078 3144 3537 4104 4716 4978 6156 6288 7074 7467 8208 9432 9956 10611 12312 14148 14934 18864 19912 21222 22401 24624 28296 29868 39824 42444 44802 56592 59736 67203 84888 89604 119472 134406 169776 179208 201609 268812 358416 403218 537624 806436 1075248 1612872 3225744