Search a number
-
+
30440000 = 2654761
BaseRepresentation
bin111010000011…
…1101001000000
32010021111211102
41310013221000
530243040000
63004233532
7516510233
oct164075100
963244742
1030440000
1116201028
12a23b8a8
1363ca346
14408541a
152a143d5
hex1d07a40

30440000 has 70 divisors (see below), whose sum is σ = 75580494. Its totient is φ = 12160000.

The previous prime is 30439993. The next prime is 30440009. The reversal of 30440000 is 4403.

It can be written as a sum of positive squares in 5 ways, for example, as 22733824 + 7706176 = 4768^2 + 2776^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30440009) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 39620 + ... + 40380.

Almost surely, 230440000 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 30440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37790247).

30440000 is an abundant number, since it is smaller than the sum of its proper divisors (45140494).

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

30440000 is an frugal number, since it uses more digits than its factorization.

30440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 793 (or 768 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 11.

The square root of 30440000 is about 5517.2456896535. The cubic root of 30440000 is about 312.2349753016.

Adding to 30440000 its reverse (4403), we get a palindrome (30444403).

It can be divided in two parts, 304 and 40000, that added together give a palindrome (40304).

The spelling of 30440000 in words is "thirty million, four hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 761 800 1000 1250 1522 1600 2000 2500 3044 3805 4000 5000 6088 7610 8000 10000 12176 15220 19025 20000 24352 30440 38050 40000 48704 60880 76100 95125 121760 152200 190250 243520 304400 380500 475625 608800 761000 951250 1217600 1522000 1902500 3044000 3805000 6088000 7610000 15220000 30440000