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340130304 = 2932223331
BaseRepresentation
bin10100010001011…
…111101000000000
3212201000102001200
4110101133220000
51144033132204
653430101200
711300026353
oct2421375000
9781012050
10340130304
11164aa3a28
1295aaa800
135560ba47
143325c29a
151ecd9539
hex1445fa00

340130304 has 120 divisors (see below), whose sum is σ = 989020032. Its totient is φ = 112527360.

The previous prime is 340130303. The next prime is 340130333. The reversal of 340130304 is 403031043.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (340130303) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1027419 + ... + 1027749.

Almost surely, 2340130304 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 340130304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494510016).

340130304 is an abundant number, since it is smaller than the sum of its proper divisors (648889728).

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

340130304 is a wasteful number, since it uses less digits than its factorization.

340130304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578 (or 559 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 340130304 is about 18442.6219394098. The cubic root of 340130304 is about 698.0423561405.

Adding to 340130304 its reverse (403031043), we get a palindrome (743161347).

The spelling of 340130304 in words is "three hundred forty million, one hundred thirty thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 223 256 288 331 384 446 512 576 662 669 768 892 993 1152 1324 1338 1536 1784 1986 2007 2304 2648 2676 2979 3568 3972 4014 4608 5296 5352 5958 7136 7944 8028 10592 10704 11916 14272 15888 16056 21184 21408 23832 28544 31776 32112 42368 42816 47664 57088 63552 64224 73813 84736 85632 95328 114176 127104 128448 147626 169472 171264 190656 221439 254208 256896 295252 342528 381312 442878 508416 513792 590504 664317 762624 885756 1027584 1181008 1328634 1525248 1771512 2362016 2657268 3543024 4724032 5314536 7086048 9448064 10629072 14172096 18896128 21258144 28344192 37792256 42516288 56688384 85032576 113376768 170065152 340130304