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30522432 = 263433697
BaseRepresentation
bin111010001101…
…1110001000000
32010102200220110
41310123301000
530303204212
63010111320
7520302453
oct164336100
963380813
1030522432
1116257a56
12a27b540
136428a15
1440a749a
152a2da3c
hex1d1bc40

30522432 has 56 divisors (see below), whose sum is σ = 82657696. Its totient is φ = 9934848.

The previous prime is 30522431. The next prime is 30522433. The reversal of 30522432 is 23422503.

It is an interprime number because it is at equal distance from previous prime (30522431) and next prime (30522433).

It is a junction number, because it is equal to n+sod(n) for n = 30522399 and 30522408.

It is not an unprimeable number, because it can be changed into a prime (30522431) 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 7 ways as a sum of consecutive naturals, for example, 6408 + ... + 10104.

Almost surely, 230522432 is an apocalyptic number.

30522432 is a gapful number since it is divisible by the number (32) 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 30522432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41328848).

30522432 is an abundant number, since it is smaller than the sum of its proper divisors (52135264).

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

30522432 is a wasteful number, since it uses less digits than its factorization.

30522432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3755 (or 3745 counting only the distinct ones).

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

The square root of 30522432 is about 5524.7110331673. The cubic root of 30522432 is about 312.5165670150.

Adding to 30522432 its reverse (23422503), we get a palindrome (53944935).

The spelling of 30522432 in words is "thirty million, five hundred twenty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 129 172 192 258 344 516 688 1032 1376 2064 2752 3697 4128 7394 8256 11091 14788 22182 29576 44364 59152 88728 118304 158971 177456 236608 317942 354912 476913 635884 709824 953826 1271768 1907652 2543536 3815304 5087072 7630608 10174144 15261216 30522432