Search a number
-
+
30434432 = 27733967
BaseRepresentation
bin111010000011…
…0010010000000
32010021020012012
41310012102000
530242400212
63004152052
7516455060
oct164062200
963236165
1030434432
11161a7926
12a238628
1363c7952
1440833a0
152a12922
hex1d06480

30434432 has 32 divisors (see below), whose sum is σ = 69294720. Its totient is φ = 13042944.

The previous prime is 30434399. The next prime is 30434441. The reversal of 30434432 is 23443403.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 30434398 and 30434407.

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, 16088 + ... + 17879.

It is an arithmetic number, because the mean of its divisors is an integer number (2165460).

Almost surely, 230434432 is an apocalyptic number.

30434432 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

30434432 is an abundant number, since it is smaller than the sum of its proper divisors (38860288).

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

30434432 is an equidigital number, since it uses as much as digits as its factorization.

30434432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33988 (or 33976 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 23.

The square root of 30434432 is about 5516.7410669706. The cubic root of 30434432 is about 312.2159364235.

Adding to 30434432 its reverse (23443403), we get a palindrome (53877835).

The spelling of 30434432 in words is "thirty million, four hundred thirty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 448 896 33967 67934 135868 237769 271736 475538 543472 951076 1086944 1902152 2173888 3804304 4347776 7608608 15217216 30434432