Search a number
-
+
308312928 = 253271113903
BaseRepresentation
bin10010011000000…
…111101101100000
3210111010220211100
4102120013231200
51112412003203
650332114400
710432421340
oct2230075540
9714126740
10308312928
11149042080
1287305a00
134bb4b7b1
142cd38d20
151c101ea3
hex12607b60

308312928 has 144 divisors (see below), whose sum is σ = 1093188096. Its totient is φ = 80075520.

The previous prime is 308312923. The next prime is 308312941. The reversal of 308312928 is 829213803.

It is a happy number.

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

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 = 308312892 and 308312901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (308312923) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15225 + ... + 29127.

It is an arithmetic number, because the mean of its divisors is an integer number (7591584).

Almost surely, 2308312928 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 308312928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546594048).

308312928 is an abundant number, since it is smaller than the sum of its proper divisors (784875168).

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

308312928 is a wasteful number, since it uses less digits than its factorization.

308312928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13937 (or 13926 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 308312928 is about 17558.8418752491. The cubic root of 308312928 is about 675.5599764702.

It can be divided in two parts, 308 and 312928, that added together give a triangular number (313236 = T791).

The spelling of 308312928 in words is "three hundred eight million, three hundred twelve thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 28 32 33 36 42 44 48 56 63 66 72 77 84 88 96 99 112 126 132 144 154 168 176 198 224 231 252 264 288 308 336 352 396 462 504 528 616 672 693 792 924 1008 1056 1232 1386 1584 1848 2016 2464 2772 3168 3696 5544 7392 11088 13903 22176 27806 41709 55612 83418 97321 111224 125127 152933 166836 194642 222448 250254 291963 305866 333672 389284 444896 458799 500508 583926 611732 667344 778568 875889 917598 1001016 1070531 1167852 1223464 1334688 1376397 1557136 1751778 1835196 2002032 2141062 2335704 2446928 2752794 3114272 3211593 3503556 3670392 4004064 4282124 4671408 4893856 5505588 6423186 7007112 7340784 8564248 9342816 9634779 11011176 12846372 14014224 14681568 17128496 19269558 22022352 25692744 28028448 34256992 38539116 44044704 51385488 77078232 102770976 154156464 308312928