[go: up one dir, main page]

Search a number
-
+
2930004 = 22327211151
BaseRepresentation
bin1011001011010101010100
312111212012200
423023111110
51222230004
6142444500
733622200
oct13132524
95455180
102930004
1117213a0
12b93730
137b783c
14563b00
153cd239
hex2cb554

2930004 has 108 divisors (see below), whose sum is σ = 9461088. Its totient is φ = 756000.

The previous prime is 2930003. The next prime is 2930021. The reversal of 2930004 is 4000392.

2930004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2930003) 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 35 ways as a sum of consecutive naturals, for example, 19329 + ... + 19479.

22930004 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 2930004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4730544).

2930004 is an abundant number, since it is smaller than the sum of its proper divisors (6531084).

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

2930004 is a wasteful number, since it uses less digits than its factorization.

2930004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 2930004 is about 1711.7254452744. The cubic root of 2930004 is about 143.0944328740.

Adding to 2930004 its reverse (4000392), we get a palindrome (6930396).

The spelling of 2930004 in words is "two million, nine hundred thirty thousand, four".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 49 63 66 77 84 98 99 126 132 147 151 154 196 198 231 252 294 302 308 396 441 453 462 539 588 604 693 882 906 924 1057 1078 1359 1386 1617 1661 1764 1812 2114 2156 2718 2772 3171 3234 3322 4228 4851 4983 5436 6342 6468 6644 7399 9513 9702 9966 11627 12684 14798 14949 19026 19404 19932 22197 23254 29596 29898 34881 38052 44394 46508 59796 66591 69762 81389 88788 104643 133182 139524 162778 209286 244167 266364 325556 418572 488334 732501 976668 1465002 2930004