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234408512 = 26131716573
BaseRepresentation
bin11011111100011…
…00101001000000
3121100002012000202
431332030221000
5440002033022
635132104332
75544303512
oct1576145100
9540065022
10234408512
11110354648
12666050a8
1339743a80
14231bbbb2
15158a4592
hexdf8ca40

234408512 has 56 divisors (see below), whose sum is σ = 530434296. Its totient is φ = 101818368.

The previous prime is 234408469. The next prime is 234408557. The reversal of 234408512 is 215804432.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 42198016 + 192210496 = 6496^2 + 13864^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5858 + ... + 22430.

It is an arithmetic number, because the mean of its divisors is an integer number (9472041).

Almost surely, 2234408512 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 234408512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265217148).

234408512 is an abundant number, since it is smaller than the sum of its proper divisors (296025784).

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

234408512 is a wasteful number, since it uses less digits than its factorization.

234408512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16615 (or 16605 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

The square root of 234408512 is about 15310.4053506104. The cubic root of 234408512 is about 616.5824030307.

The spelling of 234408512 in words is "two hundred thirty-four million, four hundred eight thousand, five hundred twelve".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 64 68 104 136 208 221 272 416 442 544 832 884 1088 1768 3536 7072 14144 16573 33146 66292 132584 215449 265168 281741 430898 530336 563482 861796 1060672 1126964 1723592 2253928 3447184 3662633 4507856 6894368 7325266 9015712 13788736 14650532 18031424 29301064 58602128 117204256 234408512