Search a number
-
+
30440020 = 2251347253
BaseRepresentation
bin111010000011…
…1101001010100
32010021111212011
41310013221110
530243040040
63004234004
7516510262
oct164075124
963244764
1030440020
1116201046
12a23b904
1363ca360
144085432
152a143ea
hex1d07a54

30440020 has 72 divisors (see below), whose sum is σ = 71664264. Its totient is φ = 10792704.

The previous prime is 30440009. The next prime is 30440021. The reversal of 30440020 is 2004403.

It can be written as a sum of positive squares in 4 ways, for example, as 1731856 + 28708164 = 1316^2 + 5358^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30440021) 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, 574314 + ... + 574366.

It is an arithmetic number, because the mean of its divisors is an integer number (995337).

Almost surely, 230440020 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 30440020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35832132).

30440020 is an abundant number, since it is smaller than the sum of its proper divisors (41224244).

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

30440020 is a wasteful number, since it uses less digits than its factorization.

30440020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 13.

The square root of 30440020 is about 5517.2475021518. The cubic root of 30440020 is about 312.2350436842.

Adding to 30440020 its reverse (2004403), we get a palindrome (32444423).

The spelling of 30440020 in words is "thirty million, four hundred forty thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 47 52 53 65 94 106 130 188 212 235 260 265 470 530 611 689 940 1060 1222 1378 2209 2444 2491 2756 3055 3445 4418 4982 6110 6890 8836 9964 11045 12220 12455 13780 22090 24910 28717 32383 44180 49820 57434 64766 114868 117077 129532 143585 161915 234154 287170 323830 468308 574340 585385 647660 1170770 1522001 2341540 3044002 6088004 7610005 15220010 30440020