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304134432 = 25371014481
BaseRepresentation
bin10010001000001…
…011100100100000
3210012021122000020
4102020023210200
51110324300212
650102353440
710352046210
oct2210134440
9705248006
10304134432
11146748778
1285a2b880
134b017904
142c56c240
151ba78d8c
hex1220b920

304134432 has 96 divisors (see below), whose sum is σ = 921642624. Its totient is φ = 86016000.

The previous prime is 304134427. The next prime is 304134443. The reversal of 304134432 is 234431403.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65632 + ... + 70112.

It is an arithmetic number, because the mean of its divisors is an integer number (9600444).

Almost surely, 2304134432 is an apocalyptic number.

304134432 is a gapful number since it is divisible by the number (32) 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 304134432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460821312).

304134432 is an abundant number, since it is smaller than the sum of its proper divisors (617508192).

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

304134432 is a wasteful number, since it uses less digits than its factorization.

304134432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4602 (or 4594 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 304134432 is about 17439.4504500572. The cubic root of 304134432 is about 672.4941801480.

Adding to 304134432 its reverse (234431403), we get a palindrome (538565835).

It can be divided in two parts, 3041 and 34432, that added together give a palindrome (37473).

The spelling of 304134432 in words is "three hundred four million, one hundred thirty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 101 112 168 202 224 303 336 404 606 672 707 808 1212 1414 1616 2121 2424 2828 3232 4242 4481 4848 5656 8484 8962 9696 11312 13443 16968 17924 22624 26886 31367 33936 35848 53772 62734 67872 71696 94101 107544 125468 143392 188202 215088 250936 376404 430176 452581 501872 752808 905162 1003744 1357743 1505616 1810324 2715486 3011232 3168067 3620648 5430972 6336134 7241296 9504201 10861944 12672268 14482592 19008402 21723888 25344536 38016804 43447776 50689072 76033608 101378144 152067216 304134432