Search a number
-
+
30430320 = 24351031231
BaseRepresentation
bin111010000010…
…1010001110000
32010021000112220
41310011101300
530242232240
63004121040
7516440064
oct164052160
963230486
1030430320
11161a4828
12a236180
1363c5b0b
144081aa4
152a115d0
hex1d05470

30430320 has 80 divisors (see below), whose sum is σ = 95327232. Its totient is φ = 8029440.

The previous prime is 30430271. The next prime is 30430331. The reversal of 30430320 is 2303403.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a self number, because there is not a number n which added to its sum of digits gives 30430320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24105 + ... + 25335.

Almost surely, 230430320 is an apocalyptic number.

30430320 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 30430320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47663616).

30430320 is an abundant number, since it is smaller than the sum of its proper divisors (64896912).

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

30430320 is a wasteful number, since it uses less digits than its factorization.

30430320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1350 (or 1344 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 15.

The square root of 30430320 is about 5516.3683705859. The cubic root of 30430320 is about 312.2018746118.

Adding to 30430320 its reverse (2303403), we get a palindrome (32733723).

The spelling of 30430320 in words is "thirty million, four hundred thirty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 103 120 206 240 309 412 515 618 824 1030 1231 1236 1545 1648 2060 2462 2472 3090 3693 4120 4924 4944 6155 6180 7386 8240 9848 12310 12360 14772 18465 19696 24620 24720 29544 36930 49240 59088 73860 98480 126793 147720 253586 295440 380379 507172 633965 760758 1014344 1267930 1521516 1901895 2028688 2535860 3043032 3803790 5071720 6086064 7607580 10143440 15215160 30430320