Search a number
-
+
30134624 = 2513107677
BaseRepresentation
bin111001011110…
…1000101100000
32002200222221012
41302331011200
530203301444
62553520052
7514066022
oct162750540
962628835
1030134624
1116012653
12a113028
136321350
144006012
1529a3b9e
hex1cbd160

30134624 has 48 divisors (see below), whose sum is σ = 64583568. Its totient is φ = 13757952.

The previous prime is 30134609. The next prime is 30134639. The reversal of 30134624 is 42643103.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (30134609) and next prime (30134639).

It is a self number, because there is not a number n which added to its sum of digits gives 30134624.

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, 44174 + ... + 44850.

It is an arithmetic number, because the mean of its divisors is an integer number (1345491).

Almost surely, 230134624 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 30134624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32291784).

30134624 is an abundant number, since it is smaller than the sum of its proper divisors (34448944).

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

30134624 is a wasteful number, since it uses less digits than its factorization.

30134624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 807 (or 799 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

The square root of 30134624 is about 5489.5012523908. The cubic root of 30134624 is about 311.1873438283.

Adding to 30134624 its reverse (42643103), we get a palindrome (72777727).

The spelling of 30134624 in words is "thirty million, one hundred thirty-four thousand, six hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 32 52 104 107 208 214 416 428 677 856 1354 1391 1712 2708 2782 3424 5416 5564 8801 10832 11128 17602 21664 22256 35204 44512 70408 72439 140816 144878 281632 289756 579512 941707 1159024 1883414 2318048 3766828 7533656 15067312 30134624