Search a number
-
+
308395680 = 2535897219
BaseRepresentation
bin10010011000011…
…011111010100000
3210111022010100020
4102120123322200
51112422130210
650333553440
710433214525
oct2230337240
9714263306
10308395680
1114909926a
1287345880
134bb7a368
142cd5b14c
151c11b770
hex1261bea0

308395680 has 96 divisors (see below), whose sum is σ = 982497600. Its totient is φ = 81303552.

The previous prime is 308395651. The next prime is 308395693. The reversal of 308395680 is 86593803.

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

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 15 ways as a sum of consecutive naturals, for example, 39111 + ... + 46329.

It is an arithmetic number, because the mean of its divisors is an integer number (10234350).

Almost surely, 2308395680 is an apocalyptic number.

308395680 is a gapful number since it is divisible by the number (30) 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 308395680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491248800).

308395680 is an abundant number, since it is smaller than the sum of its proper divisors (674101920).

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

308395680 is a wasteful number, since it uses less digits than its factorization.

308395680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7326 (or 7318 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 308395680 is about 17561.1981368015. The cubic root of 308395680 is about 675.6204117545.

The spelling of 308395680 in words is "three hundred eight million, three hundred ninety-five thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 89 96 120 160 178 240 267 356 445 480 534 712 890 1068 1335 1424 1780 2136 2670 2848 3560 4272 5340 7120 7219 8544 10680 14240 14438 21360 21657 28876 36095 42720 43314 57752 72190 86628 108285 115504 144380 173256 216570 231008 288760 346512 433140 577520 642491 693024 866280 1155040 1284982 1732560 1927473 2569964 3212455 3465120 3854946 5139928 6424910 7709892 9637365 10279856 12849820 15419784 19274730 20559712 25699640 30839568 38549460 51399280 61679136 77098920 102798560 154197840 308395680