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30414432 = 253316817
BaseRepresentation
bin111010000000…
…1011001100000
32010020012202110
41310001121200
530241230212
63003515320
7516342546
oct164013140
963205673
1030414432
11161938a4
12a228b40
1363bb809
144079d96
152a0ba3c
hex1d01660

30414432 has 24 divisors (see below), whose sum is σ = 79838136. Its totient is φ = 10138112.

The previous prime is 30414409. The next prime is 30414443. The reversal of 30414432 is 23441403.

It is a tau number, because it is divible by the number of its divisors (24).

It is a junction number, because it is equal to n+sod(n) for n = 30414399 and 30414408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 158313 + ... + 158504.

It is an arithmetic number, because the mean of its divisors is an integer number (3326589).

Almost surely, 230414432 is an apocalyptic number.

30414432 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

30414432 is an abundant number, since it is smaller than the sum of its proper divisors (49423704).

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

30414432 is a wasteful number, since it uses less digits than its factorization.

30414432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316830 (or 316822 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 30414432 is about 5514.9281046991. The cubic root of 30414432 is about 312.1475304916.

Adding to 30414432 its reverse (23441403), we get a palindrome (53855835).

The spelling of 30414432 in words is "thirty million, four hundred fourteen thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 316817 633634 950451 1267268 1900902 2534536 3801804 5069072 7603608 10138144 15207216 30414432