Search a number
-
+
30445224 = 23331151271
BaseRepresentation
bin111010000100…
…0111010101000
32010021202222220
41310020322220
530243221344
63004314040
7516531405
oct164107250
963252886
1030445224
1116204a47
12a242920
1363cc834
1440872ac
152a15c19
hex1d08ea8

30445224 has 64 divisors (see below), whose sum is σ = 79380480. Its totient is φ = 9720000.

The previous prime is 30445223. The next prime is 30445229. The reversal of 30445224 is 42254403.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 30445194 and 30445203.

It is not an unprimeable number, because it can be changed into a prime (30445223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 112209 + ... + 112479.

It is an arithmetic number, because the mean of its divisors is an integer number (1240320).

Almost surely, 230445224 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 30445224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39690240).

30445224 is an abundant number, since it is smaller than the sum of its proper divisors (48935256).

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

30445224 is a wasteful number, since it uses less digits than its factorization.

30445224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 30445224 is about 5517.7190939735. The cubic root of 30445224 is about 312.2528358164.

Adding to 30445224 its reverse (42254403), we get a palindrome (72699627).

The spelling of 30445224 in words is "thirty million, four hundred forty-five thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 151 186 248 271 302 372 453 542 604 744 813 906 1084 1208 1626 1812 2168 3252 3624 4681 6504 8401 9362 14043 16802 18724 25203 28086 33604 37448 40921 50406 56172 67208 81842 100812 112344 122763 163684 201624 245526 327368 491052 982104 1268551 2537102 3805653 5074204 7611306 10148408 15222612 30445224