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30413344 = 2513292521
BaseRepresentation
bin111010000000…
…1001000100000
32010020011021011
41310001020200
530241211334
63003510304
7516336433
oct164011040
963204234
1030413344
1116192aa5
12a228394
1363bb180
14407981a
152a0b564
hex1d01220

30413344 has 48 divisors (see below), whose sum is σ = 66732120. Its totient is φ = 13547520.

The previous prime is 30413303. The next prime is 30413351. The reversal of 30413344 is 44331403.

It can be written as a sum of positive squares in 4 ways, for example, as 10163344 + 20250000 = 3188^2 + 4500^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10804 + ... + 13324.

Almost surely, 230413344 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 30413344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33366060).

30413344 is an abundant number, since it is smaller than the sum of its proper divisors (36318776).

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

30413344 is a wasteful number, since it uses less digits than its factorization.

30413344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2573 (or 2565 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 30413344 is about 5514.8294624585. The cubic root of 30413344 is about 312.1438083489.

Adding to 30413344 its reverse (44331403), we get a palindrome (74744747).

The spelling of 30413344 in words is "thirty million, four hundred thirteen thousand, three hundred forty-four".

Divisors: 1 2 4 8 13 16 26 29 32 52 58 104 116 208 232 377 416 464 754 928 1508 2521 3016 5042 6032 10084 12064 20168 32773 40336 65546 73109 80672 131092 146218 262184 292436 524368 584872 950417 1048736 1169744 1900834 2339488 3801668 7603336 15206672 30413344