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3149328 = 2437213103
BaseRepresentation
bin1100000000111000010000
312221000001210
430000320100
51301234303
6151300120
735524500
oct14007020
95830053
103149328
111861156
12107a640
13863610
145bda00
15423203
hex300e10

3149328 has 120 divisors (see below), whose sum is σ = 10291008. Its totient is φ = 822528.

The previous prime is 3149309. The next prime is 3149339. The reversal of 3149328 is 8239413.

It is a junction number, because it is equal to n+sod(n) for n = 3149295 and 3149304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30525 + ... + 30627.

Almost surely, 23149328 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 3149328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5145504).

3149328 is an abundant number, since it is smaller than the sum of its proper divisors (7141680).

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

3149328 is a wasteful number, since it uses less digits than its factorization.

3149328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 128 counting only the distinct ones).

The product of its digits is 5184, while the sum is 30.

The square root of 3149328 is about 1774.6346102790. The cubic root of 3149328 is about 146.5792959885.

It can be divided in two parts, 3 and 149328, that added together give a triangular number (149331 = T546).

The spelling of 3149328 in words is "three million, one hundred forty-nine thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 49 52 56 78 84 91 98 103 104 112 147 156 168 182 196 206 208 273 294 309 312 336 364 392 412 546 588 618 624 637 721 728 784 824 1092 1176 1236 1274 1339 1442 1456 1648 1911 2163 2184 2352 2472 2548 2678 2884 3822 4017 4326 4368 4944 5047 5096 5356 5768 7644 8034 8652 9373 10094 10192 10712 11536 15141 15288 16068 17304 18746 20188 21424 28119 30282 30576 32136 34608 37492 40376 56238 60564 64272 65611 74984 80752 112476 121128 131222 149968 196833 224952 242256 262444 393666 449904 524888 787332 1049776 1574664 3149328