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30406032 = 2432211153
BaseRepresentation
bin111001111111…
…1010110010000
32010012210020100
41303333112100
530240443112
63003412400
7516306216
oct163772620
963183210
1030406032
1116188558
12a224100
1363b7a47
144076cb6
152a092dc
hex1cff590

30406032 has 30 divisors (see below), whose sum is σ = 85095062. Its totient is φ = 10135296.

The previous prime is 30406027. The next prime is 30406037. The reversal of 30406032 is 23060403.

It is an interprime number because it is at equal distance from previous prime (30406027) and next prime (30406037).

It can be written as a sum of positive squares in only one way, i.e., 30074256 + 331776 = 5484^2 + 576^2 .

It is a super-3 number, since 3×304060323 (a number of 23 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 30405996 and 30406014.

It is not an unprimeable number, because it can be changed into a prime (30406037) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 105433 + ... + 105720.

Almost surely, 230406032 is an apocalyptic number.

It is an amenable number.

30406032 is an abundant number, since it is smaller than the sum of its proper divisors (54689030).

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

30406032 is a wasteful number, since it uses less digits than its factorization.

30406032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211167 (or 211158 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 30406032 is about 5514.1664827968. The cubic root of 30406032 is about 312.1187910576.

Adding to 30406032 its reverse (23060403), we get a palindrome (53466435).

The spelling of 30406032 in words is "thirty million, four hundred six thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 211153 422306 633459 844612 1266918 1689224 1900377 2533836 3378448 3800754 5067672 7601508 10135344 15203016 30406032