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30534320 = 2451013779
BaseRepresentation
bin111010001111…
…0101010110000
32010110022012202
41310132222300
530304044240
63010242332
7520352225
oct164365260
963408182
1030534320
1116265983
12a2863a8
13643125b
1440ab94c
152a32315
hex1d1eab0

30534320 has 40 divisors (see below), whose sum is σ = 71714160. Its totient is φ = 12089600.

The previous prime is 30534319. The next prime is 30534323. The reversal of 30534320 is 2343503.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 30534292 and 30534301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30534323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6191 + ... + 9969.

It is an arithmetic number, because the mean of its divisors is an integer number (1792854).

Almost surely, 230534320 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 30534320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35857080).

30534320 is an abundant number, since it is smaller than the sum of its proper divisors (41179840).

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

30534320 is a wasteful number, since it uses less digits than its factorization.

30534320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3893 (or 3887 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 20.

The square root of 30534320 is about 5525.7868218019. The cubic root of 30534320 is about 312.5571351532.

Adding to 30534320 its reverse (2343503), we get a palindrome (32877823).

It can be divided in two parts, 305 and 34320, that multiplied together give a triangular number (10467600 = T4575).

The spelling of 30534320 in words is "thirty million, five hundred thirty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 101 202 404 505 808 1010 1616 2020 3779 4040 7558 8080 15116 18895 30232 37790 60464 75580 151160 302320 381679 763358 1526716 1908395 3053432 3816790 6106864 7633580 15267160 30534320