Search a number
-
+
3013430300 = 2252411076869
BaseRepresentation
bin1011001110011101…
…0100110000011100
321210000022010020122
42303213110300130
522132414232200
61215004134112
7134450510036
oct26347246034
97700263218
103013430300
111307003871
12701237338
1339040756a
14208300c56
15129848385
hexb39d4c1c

3013430300 has 72 divisors (see below), whose sum is σ = 6762223440. Its totient is φ = 1164812800.

The previous prime is 3013430297. The next prime is 3013430309. The reversal of 3013430300 is 30343103.

3013430300 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 (3013430309) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 435266 + ... + 442134.

It is an arithmetic number, because the mean of its divisors is an integer number (93919770).

Almost surely, 23013430300 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 3013430300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3381111720).

3013430300 is an abundant number, since it is smaller than the sum of its proper divisors (3748793140).

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

3013430300 is a wasteful number, since it uses less digits than its factorization.

3013430300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7031 (or 7024 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 17.

The square root of 3013430300 is about 54894.7201468411. The cubic root of 3013430300 is about 1444.3985715653.

Adding to 3013430300 its reverse (30343103), we get a palindrome (3043773403).

The spelling of 3013430300 in words is "three billion, thirteen million, four hundred thirty thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 100 107 164 205 214 410 428 535 820 1025 1070 2050 2140 2675 4100 4387 5350 6869 8774 10700 13738 17548 21935 27476 34345 43870 68690 87740 109675 137380 171725 219350 281629 343450 438700 563258 686900 734983 1126516 1408145 1469966 2816290 2939932 3674915 5632580 7040725 7349830 14081450 14699660 18374575 28162900 30134303 36749150 60268606 73498300 120537212 150671515 301343030 602686060 753357575 1506715150 3013430300