Search a number
-
+
3129390 = 23251129109
BaseRepresentation
bin1011111100000000101110
312212222201100
423330000232
51300120030
6151023530
735412405
oct13740056
95788640
103129390
111848180
12106aba6
13857514
145b663c
1541c360
hex2fc02e

3129390 has 96 divisors (see below), whose sum is σ = 9266400. Its totient is φ = 725760.

The previous prime is 3129383. The next prime is 3129391. The reversal of 3129390 is 939213.

3129390 = T131 + T132 + ... + T275.

3129390 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3129391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28656 + ... + 28764.

It is an arithmetic number, because the mean of its divisors is an integer number (96525).

Almost surely, 23129390 is an apocalyptic number.

3129390 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3129390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4633200).

3129390 is an abundant number, since it is smaller than the sum of its proper divisors (6137010).

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

3129390 is a wasteful number, since it uses less digits than its factorization.

3129390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 27.

The square root of 3129390 is about 1769.0081967023. The cubic root of 3129390 is about 146.2693158796.

The spelling of 3129390 in words is "three million, one hundred twenty-nine thousand, three hundred ninety".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 29 30 33 45 55 58 66 87 90 99 109 110 145 165 174 198 218 261 290 319 327 330 435 495 522 545 638 654 870 957 981 990 1090 1199 1305 1595 1635 1914 1962 2398 2610 2871 3161 3190 3270 3597 4785 4905 5742 5995 6322 7194 9483 9570 9810 10791 11990 14355 15805 17985 18966 21582 28449 28710 31610 34771 35970 47415 53955 56898 69542 94830 104313 107910 142245 173855 208626 284490 312939 347710 521565 625878 1043130 1564695 3129390