Search a number
-
+
3004134100 = 2252116144771
BaseRepresentation
bin1011001100001111…
…0111001011010100
321202100210211020221
42303003313023110
522123024242400
61214033004124
7134305501312
oct26303671324
97670724227
103004134100
111301834460
126ba0b3644
1338b501156
14206da10b2
15128b0dc1a
hexb30f72d4

3004134100 has 72 divisors (see below), whose sum is σ = 7228349856. Its totient is φ = 1074480000.

The previous prime is 3004134097. The next prime is 3004134113. The reversal of 3004134100 is 14314003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44715 + ... + 89485.

It is an arithmetic number, because the mean of its divisors is an integer number (100393748).

Almost surely, 23004134100 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 3004134100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3614174928).

3004134100 is an abundant number, since it is smaller than the sum of its proper divisors (4224215756).

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

3004134100 is a wasteful number, since it uses less digits than its factorization.

3004134100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44857 (or 44850 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 3004134100 is about 54809.9817551511. The cubic root of 3004134100 is about 1442.9117555570.

Adding to 3004134100 its reverse (14314003), we get a palindrome (3018448103).

The spelling of 3004134100 in words is "three billion, four million, one hundred thirty-four thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 61 100 110 122 220 244 275 305 550 610 671 1100 1220 1342 1525 2684 3050 3355 6100 6710 13420 16775 33550 44771 67100 89542 179084 223855 447710 492481 895420 984962 1119275 1969924 2238550 2462405 2731031 4477100 4924810 5462062 9849620 10924124 12312025 13655155 24624050 27310310 30041341 49248100 54620620 60082682 68275775 120165364 136551550 150206705 273103100 300413410 600826820 751033525 1502067050 3004134100