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30204144 = 2433139503
BaseRepresentation
bin111001100111…
…0000011110000
32002211112022000
41303032003300
530213013034
62555214000
7514505505
oct163160360
962745260
1030204144
111605a903
12a147300
136346b99
1440234ac
1529b9599
hex1cce0f0

30204144 has 80 divisors (see below), whose sum is σ = 87494400. Its totient is φ = 9975744.

The previous prime is 30204143. The next prime is 30204191. The reversal of 30204144 is 44140203.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30204143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59797 + ... + 60299.

It is an arithmetic number, because the mean of its divisors is an integer number (1093680).

Almost surely, 230204144 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 30204144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43747200).

30204144 is an abundant number, since it is smaller than the sum of its proper divisors (57290256).

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

30204144 is a wasteful number, since it uses less digits than its factorization.

30204144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 659 (or 647 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 30204144 is about 5495.8296916844. The cubic root of 30204144 is about 311.4264611221.

Adding to 30204144 its reverse (44140203), we get a palindrome (74344347).

The spelling of 30204144 in words is "thirty million, two hundred four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 139 144 216 278 417 432 503 556 834 1006 1112 1251 1509 1668 2012 2224 2502 3018 3336 3753 4024 4527 5004 6036 6672 7506 8048 9054 10008 12072 13581 15012 18108 20016 24144 27162 30024 36216 54324 60048 69917 72432 108648 139834 209751 217296 279668 419502 559336 629253 839004 1118672 1258506 1678008 1887759 2517012 3356016 3775518 5034024 7551036 10068048 15102072 30204144