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3225376 = 257211217
BaseRepresentation
bin1100010011011100100000
320001212101101
430103130200
51311203001
6153044144
736262300
oct14233440
96055341
103225376
111903300
1210b6654
1388c10b
145dd600
1543aa01
hex313720

3225376 has 108 divisors (see below), whose sum is σ = 8596854. Its totient is φ = 1182720.

The previous prime is 3225373. The next prime is 3225377. The reversal of 3225376 is 6735223.

It can be written as a sum of positive squares in only one way, i.e., 2371600 + 853776 = 1540^2 + 924^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a d-powerful number, because it can be written as 313 + 210 + 214 + 56 + 313 + 74 + 64 .

Its product of digits (7560) is a multiple of the sum of its prime factors (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3225371) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 189720 + ... + 189736.

Almost surely, 23225376 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 3225376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4298427).

3225376 is an abundant number, since it is smaller than the sum of its proper divisors (5371478).

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

3225376 is a wasteful number, since it uses less digits than its factorization.

3225376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 37 counting only the distinct ones).

The product of its digits is 7560, while the sum is 28.

The square root of 3225376 is about 1795.9331836124. The cubic root of 3225376 is about 147.7497597442.

The spelling of 3225376 in words is "three million, two hundred twenty-five thousand, three hundred seventy-six".

Divisors: 1 2 4 7 8 11 14 16 17 22 28 32 34 44 49 56 68 77 88 98 112 119 121 136 154 176 187 196 224 238 242 272 308 352 374 392 476 484 539 544 616 748 784 833 847 952 968 1078 1232 1309 1496 1568 1666 1694 1904 1936 2057 2156 2464 2618 2992 3332 3388 3808 3872 4114 4312 5236 5929 5984 6664 6776 8228 8624 9163 10472 11858 13328 13552 14399 16456 17248 18326 20944 23716 26656 27104 28798 32912 36652 41888 47432 57596 65824 73304 94864 100793 115192 146608 189728 201586 230384 293216 403172 460768 806344 1612688 3225376