Search a number
-
+
30100004340 = 22357122958313
BaseRepresentation
bin11100000010000110…
…011001110111110100
32212200201110122112120
4130002012121313310
5443121100114330
621454443315540
72113622546460
oct340206316764
985621418476
1030100004340
111184673884a
125a0051bbb0
132ab900a873
14165783b4a0
15bb27cec10
hex702199df4

30100004340 has 96 divisors (see below), whose sum is σ = 96400039680. Its totient is φ = 6874285056.

The previous prime is 30100004321. The next prime is 30100004351. The reversal of 30100004340 is 4340000103.

It is a super-2 number, since 2×301000043402 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

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 31 ways as a sum of consecutive naturals, for example, 487024 + ... + 545336.

It is an arithmetic number, because the mean of its divisors is an integer number (1004167080).

Almost surely, 230100004340 is an apocalyptic number.

30100004340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30100004340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48200019840).

30100004340 is an abundant number, since it is smaller than the sum of its proper divisors (66300035340).

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

30100004340 is a wasteful number, since it uses less digits than its factorization.

30100004340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59561 (or 59559 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 30100004340 its reverse (4340000103), we get a palindrome (34440004443).

The spelling of 30100004340 in words is "thirty billion, one hundred million, four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 1229 2458 3687 4916 6145 7374 8603 12290 14748 17206 18435 24580 25809 34412 36870 43015 51618 58313 73740 86030 103236 116626 129045 172060 174939 233252 258090 291565 349878 408191 516180 583130 699756 816382 874695 1166260 1224573 1632764 1749390 2040955 2449146 3498780 4081910 4898292 6122865 8163820 12245730 24491460 71666677 143333354 215000031 286666708 358333385 430000062 501666739 716666770 860000124 1003333478 1075000155 1433333540 1505000217 2006666956 2150000310 2508333695 3010000434 4300000620 5016667390 6020000868 7525001085 10033334780 15050002170 30100004340