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30441824 = 257373673
BaseRepresentation
bin111010000100…
…0000101100000
32010021121022222
41310020011200
530243114244
63004250212
7516515450
oct164100540
963247288
1030441824
1116202436
12a240968
1363cb11a
144085d60
152a14bee
hex1d08160

30441824 has 48 divisors (see below), whose sum is σ = 70364448. Its totient is φ = 12690432.

The previous prime is 30441823. The next prime is 30441841. The reversal of 30441824 is 42814403.

It is a junction number, because it is equal to n+sod(n) for n = 30441793 and 30441802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30441823) 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, 6452 + ... + 10124.

It is an arithmetic number, because the mean of its divisors is an integer number (1465926).

Almost surely, 230441824 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 30441824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35182224).

30441824 is an abundant number, since it is smaller than the sum of its proper divisors (39922624).

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

30441824 is a wasteful number, since it uses less digits than its factorization.

30441824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3727 (or 3719 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

The square root of 30441824 is about 5517.4109870482. The cubic root of 30441824 is about 312.2412116707.

The spelling of 30441824 in words is "thirty million, four hundred forty-one thousand, eight hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 37 56 74 112 148 224 259 296 518 592 1036 1184 2072 3673 4144 7346 8288 14692 25711 29384 51422 58768 102844 117536 135901 205688 271802 411376 543604 822752 951307 1087208 1902614 2174416 3805228 4348832 7610456 15220912 30441824