Search a number
-
+
3149352 = 2332173183
BaseRepresentation
bin1100000000111000101000
312221000002200
430000320220
51301234402
6151300200
735524533
oct14007050
95830080
103149352
111861178
12107a660
1386362b
145bda1a
1542321c
hex300e28

3149352 has 96 divisors (see below), whose sum is σ = 9434880. Its totient is φ = 944640.

The previous prime is 3149339. The next prime is 3149353. The reversal of 3149352 is 2539413.

3149352 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (3149353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37903 + ... + 37985.

It is an arithmetic number, because the mean of its divisors is an integer number (98280).

Almost surely, 23149352 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 3149352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4717440).

3149352 is an abundant number, since it is smaller than the sum of its proper divisors (6285528).

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

3149352 is a wasteful number, since it uses less digits than its factorization.

3149352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 136 counting only the distinct ones).

The product of its digits is 3240, while the sum is 27.

The square root of 3149352 is about 1774.6413722214. The cubic root of 3149352 is about 146.5796683319.

The spelling of 3149352 in words is "three million, one hundred forty-nine thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 31 34 36 51 62 68 72 83 93 102 124 136 153 166 186 204 248 249 279 306 332 372 408 498 527 558 612 664 744 747 996 1054 1116 1224 1411 1494 1581 1992 2108 2232 2573 2822 2988 3162 4216 4233 4743 5146 5644 5976 6324 7719 8466 9486 10292 11288 12648 12699 15438 16932 18972 20584 23157 25398 30876 33864 37944 43741 46314 50796 61752 87482 92628 101592 131223 174964 185256 262446 349928 393669 524892 787338 1049784 1574676 3149352