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30013434 = 23211295227
BaseRepresentation
bin111001001111…
…1011111111010
32002110211200200
41302133133322
530140412214
62551143030
7513052503
oct162373772
962424620
1030013434
1115a3a5a0
12a074a76
1362ab139
143db3baa
15297cd09
hex1c9f7fa

30013434 has 48 divisors (see below), whose sum is σ = 73401120. Its totient is φ = 8779680.

The previous prime is 30013433. The next prime is 30013447. The reversal of 30013434 is 43431003.

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

It is not an unprimeable number, because it can be changed into a prime (30013433) 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, 3129 + ... + 8355.

It is an arithmetic number, because the mean of its divisors is an integer number (1529190).

Almost surely, 230013434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30013434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36700560).

30013434 is an abundant number, since it is smaller than the sum of its proper divisors (43387686).

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

30013434 is a wasteful number, since it uses less digits than its factorization.

30013434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5275 (or 5272 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 30013434 is about 5478.4517885987. The cubic root of 30013434 is about 310.7696242979.

Adding to 30013434 its reverse (43431003), we get a palindrome (73444437).

Subtracting 30013434 from its reverse (43431003), we obtain a square (13417569 = 36632).

The spelling of 30013434 in words is "thirty million, thirteen thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 22 29 33 58 66 87 99 174 198 261 319 522 638 957 1914 2871 5227 5742 10454 15681 31362 47043 57497 94086 114994 151583 172491 303166 344982 454749 517473 909498 1034946 1364247 1667413 2728494 3334826 5002239 10004478 15006717 30013434