Search a number
-
+
30432252 = 22329157557
BaseRepresentation
bin111010000010…
…1101111111100
32010021010012110
41310011233330
530242313002
63004134020
7516445524
oct164055774
963233173
1030432252
11161a6224
12a237310
1363c6966
144082684
152a11e6c
hex1d05bfc

30432252 has 48 divisors (see below), whose sum is σ = 74057760. Its totient is φ = 9714432.

The previous prime is 30432251. The next prime is 30432253. The reversal of 30432252 is 25223403.

It is an interprime number because it is at equal distance from previous prime (30432251) and next prime (30432253).

It is a super-2 number, since 2×304322522 = 1852243923583008, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30432251) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54358 + ... + 54914.

It is an arithmetic number, because the mean of its divisors is an integer number (1542870).

Almost surely, 230432252 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 30432252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37028880).

30432252 is an abundant number, since it is smaller than the sum of its proper divisors (43625508).

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

30432252 is a wasteful number, since it uses less digits than its factorization.

30432252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 750 (or 748 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 21.

The square root of 30432252 is about 5516.5434830154. The cubic root of 30432252 is about 312.2084816324.

Adding to 30432252 its reverse (25223403), we get a palindrome (55655655).

The spelling of 30432252 in words is "thirty million, four hundred thirty-two thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 12 29 58 87 116 157 174 314 348 471 557 628 942 1114 1671 1884 2228 3342 4553 6684 9106 13659 16153 18212 27318 32306 48459 54636 64612 87449 96918 174898 193836 262347 349796 524694 1049388 2536021 5072042 7608063 10144084 15216126 30432252