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30406024 = 23111672069
BaseRepresentation
bin111001111111…
…1010110001000
32010012210020001
41303333112020
530240443044
63003412344
7516306205
oct163772610
963183201
1030406024
1116188550
12a2240b4
1363b7a3c
144076cac
152a092d4
hex1cff588

30406024 has 32 divisors (see below), whose sum is σ = 62596800. Its totient is φ = 13731520.

The previous prime is 30406021. The next prime is 30406027. The reversal of 30406024 is 42060403.

It is an interprime number because it is at equal distance from previous prime (30406021) and next prime (30406027).

It is a super-3 number, since 3×304060243 (a number of 23 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 30405992 and 30406010.

It is not an unprimeable number, because it can be changed into a prime (30406021) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13662 + ... + 15730.

It is an arithmetic number, because the mean of its divisors is an integer number (1956150).

Almost surely, 230406024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30406024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31298400).

30406024 is an abundant number, since it is smaller than the sum of its proper divisors (32190776).

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

30406024 is a wasteful number, since it uses less digits than its factorization.

30406024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2253 (or 2249 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 30406024 is about 5514.1657573925. The cubic root of 30406024 is about 312.1187636842.

Adding to 30406024 its reverse (42060403), we get a palindrome (72466427).

The spelling of 30406024 in words is "thirty million, four hundred six thousand, twenty-four".

Divisors: 1 2 4 8 11 22 44 88 167 334 668 1336 1837 2069 3674 4138 7348 8276 14696 16552 22759 45518 91036 182072 345523 691046 1382092 2764184 3800753 7601506 15203012 30406024