Search a number
-
+
336680304 = 24319794673
BaseRepresentation
bin10100000100010…
…101010101110000
3212110112010112220
4110010111111300
51142142232204
653224121040
711225510142
oct2404252560
9773463486
10336680304
11163057994
1294906180
13549a161c
1432a00c92
151e8571d9
hex14115570

336680304 has 80 divisors (see below), whose sum is σ = 927321600. Its totient is φ = 104951808.

The previous prime is 336680303. The next prime is 336680329. The reversal of 336680304 is 403086633.

It is a super-2 number, since 2×3366803042 = 226707254203064832, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (336680303) 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 15 ways as a sum of consecutive naturals, for example, 69712 + ... + 74384.

It is an arithmetic number, because the mean of its divisors is an integer number (11591520).

Almost surely, 2336680304 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 336680304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463660800).

336680304 is an abundant number, since it is smaller than the sum of its proper divisors (590641296).

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

336680304 is a wasteful number, since it uses less digits than its factorization.

336680304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4782 (or 4776 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 33.

The square root of 336680304 is about 18348.8502092093. The cubic root of 336680304 is about 695.6742100565.

The spelling of 336680304 in words is "three hundred thirty-six million, six hundred eighty thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 79 114 152 158 228 237 304 316 456 474 632 912 948 1264 1501 1896 3002 3792 4503 4673 6004 9006 9346 12008 14019 18012 18692 24016 28038 36024 37384 56076 72048 74768 88787 112152 177574 224304 266361 355148 369167 532722 710296 738334 1065444 1107501 1420592 1476668 2130888 2215002 2953336 4261776 4430004 5906672 7014173 8860008 14028346 17720016 21042519 28056692 42085038 56113384 84170076 112226768 168340152 336680304