Search a number
-
+
30578431 = 1323313299
BaseRepresentation
bin111010010100…
…1011011111111
32010112112201111
41310221123333
530312002211
63011222451
7520624642
oct164513377
963475644
1030578431
1116296034
12a2a7a27
136448360
1440bda59
152a40421
hex1d296ff

30578431 has 16 divisors (see below), whose sum is σ = 35481600. Its totient is φ = 26120160.

The previous prime is 30578417. The next prime is 30578437. The reversal of 30578431 is 13487503.

It is a cyclic number.

It is not a de Polignac number, because 30578431 - 211 = 30576383 is a prime.

It is a super-2 number, since 2×305784312 = 1870080884843522, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 30578393 and 30578402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30578437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7620 + ... + 10918.

It is an arithmetic number, because the mean of its divisors is an integer number (2217600).

Almost surely, 230578431 is an apocalyptic number.

30578431 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

30578431 is a deficient number, since it is larger than the sum of its proper divisors (4903169).

30578431 is a wasteful number, since it uses less digits than its factorization.

30578431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3366.

The product of its (nonzero) digits is 10080, while the sum is 31.

The square root of 30578431 is about 5529.7767586043. The cubic root of 30578431 is about 312.7075732389.

The spelling of 30578431 in words is "thirty million, five hundred seventy-eight thousand, four hundred thirty-one".

Divisors: 1 13 23 31 299 403 713 3299 9269 42887 75877 102269 986401 1329497 2352187 30578431