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30434144 = 2513149491
BaseRepresentation
bin111010000011…
…0001101100000
32010021012210112
41310012031200
530242343034
63004150452
7516454166
oct164061540
963235715
1030434144
11161a7694
12a238428
1363c7790
144083236
152a127ce
hex1d06360

30434144 has 48 divisors (see below), whose sum is σ = 65091600. Its totient is φ = 13923840.

The previous prime is 30434123. The next prime is 30434161. The reversal of 30434144 is 44143403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61739 + ... + 62229.

It is an arithmetic number, because the mean of its divisors is an integer number (1356075).

Almost surely, 230434144 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 30434144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32545800).

30434144 is an abundant number, since it is smaller than the sum of its proper divisors (34657456).

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

30434144 is a wasteful number, since it uses less digits than its factorization.

30434144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 663 (or 655 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

The square root of 30434144 is about 5516.7149645419. The cubic root of 30434144 is about 312.2149515907.

Adding to 30434144 its reverse (44143403), we get a palindrome (74577547).

The spelling of 30434144 in words is "thirty million, four hundred thirty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 52 104 149 208 298 416 491 596 982 1192 1937 1964 2384 3874 3928 4768 6383 7748 7856 12766 15496 15712 25532 30992 51064 61984 73159 102128 146318 204256 292636 585272 951067 1170544 1902134 2341088 3804268 7608536 15217072 30434144