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30304344 = 2337273353
BaseRepresentation
bin111001110011…
…0100001011000
32010000121202010
41303212201120
530224214334
63001305520
7515403600
oct163464130
963017663
1030304344
1116119114
12a1952a0
136380685
14404bc00
1529d90e9
hex1ce6858

30304344 has 96 divisors (see below), whose sum is σ = 89590320. Its totient is φ = 8515584.

The previous prime is 30304327. The next prime is 30304367. The reversal of 30304344 is 44340303.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 30304344.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85672 + ... + 86024.

Almost surely, 230304344 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 30304344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44795160).

30304344 is an abundant number, since it is smaller than the sum of its proper divisors (59285976).

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

30304344 is a wasteful number, since it uses less digits than its factorization.

30304344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 21.

The square root of 30304344 is about 5504.9381467915. The cubic root of 30304344 is about 311.7704590426.

Adding to 30304344 its reverse (44340303), we get a palindrome (74644647).

The spelling of 30304344 in words is "thirty million, three hundred four thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 73 84 98 146 147 168 196 219 292 294 353 392 438 511 584 588 706 876 1022 1059 1176 1412 1533 1752 2044 2118 2471 2824 3066 3577 4088 4236 4942 6132 7154 7413 8472 9884 10731 12264 14308 14826 17297 19768 21462 25769 28616 29652 34594 42924 51538 51891 59304 69188 77307 85848 103076 103782 138376 154614 180383 206152 207564 309228 360766 415128 541149 618456 721532 1082298 1262681 1443064 2164596 2525362 3788043 4329192 5050724 7576086 10101448 15152172 30304344