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30418432 = 29112491
BaseRepresentation
bin111010000001…
…0011000000000
32010020102020121
41310002120000
530241342212
63003550024
7516360322
oct164023000
963212217
1030418432
1116196900
12a22b314
1363c0595
14407b612
152a0cd07
hex1d02600

30418432 has 60 divisors (see below), whose sum is σ = 66941028. Its totient is φ = 13798400.

The previous prime is 30418391. The next prime is 30418441. The reversal of 30418432 is 23481403.

It is a junction number, because it is equal to n+sod(n) for n = 30418397 and 30418406.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 61707 + ... + 62197.

Almost surely, 230418432 is an apocalyptic number.

30418432 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 30418432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33470514).

30418432 is an abundant number, since it is smaller than the sum of its proper divisors (36522596).

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

30418432 is an equidigital number, since it uses as much as digits as its factorization.

30418432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 30418432 is about 5515.2907448293. The cubic root of 30418432 is about 312.1612140765.

Adding to 30418432 its reverse (23481403), we get a palindrome (53899835).

The spelling of 30418432 in words is "thirty million, four hundred eighteen thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 256 352 484 491 512 704 968 982 1408 1936 1964 2816 3872 3928 5401 5632 7744 7856 10802 15488 15712 21604 30976 31424 43208 59411 61952 62848 86416 118822 125696 172832 237644 251392 345664 475288 691328 950576 1382656 1901152 2765312 3802304 7604608 15209216 30418432