Search a number
-
+
30505344 = 273174673
BaseRepresentation
bin111010001011…
…1100110000000
32010101211110120
41310113212000
530302132334
63005500240
7520201602
oct164274600
963354416
1030505344
1116246131
12a271680
136420ccc
1440a1172
152a28949
hex1d17980

30505344 has 64 divisors (see below), whose sum is σ = 85814640. Its totient is φ = 9568256.

The previous prime is 30505309. The next prime is 30505399. The reversal of 30505344 is 44350503.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4192 + ... + 8864.

Almost surely, 230505344 is an apocalyptic number.

30505344 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30505344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42907320).

30505344 is an abundant number, since it is smaller than the sum of its proper divisors (55309296).

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

30505344 is a wasteful number, since it uses less digits than its factorization.

30505344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4707 (or 4695 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 24.

The square root of 30505344 is about 5523.1643104293. The cubic root of 30505344 is about 312.4582352718.

Adding to 30505344 its reverse (44350503), we get a palindrome (74855847).

The spelling of 30505344 in words is "thirty million, five hundred five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 272 384 408 544 816 1088 1632 2176 3264 4673 6528 9346 14019 18692 28038 37384 56076 74768 79441 112152 149536 158882 224304 238323 299072 317764 448608 476646 598144 635528 897216 953292 1271056 1794432 1906584 2542112 3813168 5084224 7626336 10168448 15252672 30505344