Search a number
-
+
308341728 = 2535192087
BaseRepresentation
bin10010011000001…
…110101111100000
3210111012101100000
4102120032233200
51112413413403
650332500000
710432601322
oct2230165740
9714171300
10308341728
11149061782
128731a600
134bb5b936
142cd45612
151c10a7a3
hex1260ebe0

308341728 has 144 divisors (see below), whose sum is σ = 957640320. Its totient is φ = 97324416.

The previous prime is 308341697. The next prime is 308341739. The reversal of 308341728 is 827143803.

308341728 is a `hidden beast` number, since 308 + 341 + 7 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×3083417283 (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 308341692 and 308341701.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 146701 + ... + 148787.

It is an arithmetic number, because the mean of its divisors is an integer number (6650280).

Almost surely, 2308341728 is an apocalyptic number.

308341728 is a gapful number since it is divisible by the number (38) 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 308341728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478820160).

308341728 is an abundant number, since it is smaller than the sum of its proper divisors (649298592).

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

308341728 is a wasteful number, since it uses less digits than its factorization.

308341728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2131 (or 2111 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 308341728 is about 17559.6619557439. The cubic root of 308341728 is about 675.5810108586.

The spelling of 308341728 in words is "three hundred eight million, three hundred forty-one thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 72 76 81 96 108 114 144 152 162 171 216 228 243 288 304 324 342 432 456 486 513 608 648 684 864 912 972 1026 1296 1368 1539 1824 1944 2052 2087 2592 2736 3078 3888 4104 4174 4617 5472 6156 6261 7776 8208 8348 9234 12312 12522 16416 16696 18468 18783 24624 25044 33392 36936 37566 39653 49248 50088 56349 66784 73872 75132 79306 100176 112698 118959 147744 150264 158612 169047 200352 225396 237918 300528 317224 338094 356877 450792 475836 507141 601056 634448 676188 713754 901584 951672 1014282 1070631 1268896 1352376 1427508 1803168 1903344 2028564 2141262 2704752 2855016 3211893 3806688 4057128 4282524 5409504 5710032 6423786 8114256 8565048 9635679 11420064 12847572 16228512 17130096 19271358 25695144 34260192 38542716 51390288 77085432 102780576 154170864 308341728