Search a number
-
+
309876944 = 24137120983
BaseRepresentation
bin10010011110000…
…101100011010000
3210121002101020212
4102132011203100
51113312030234
650425423252
710451624216
oct2236054320
9717071225
10309876944
11149a10153
128793ab28
134c278650
142d224cb6
151c3105ce
hex127858d0

309876944 has 40 divisors (see below), whose sum is σ = 655708032. Its totient is φ = 140999040.

The previous prime is 309876929. The next prime is 309876949. The reversal of 309876944 is 449678903.

309876944 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 309876892 and 309876901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (309876949) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4277 + ... + 25259.

Almost surely, 2309876944 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 309876944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327854016).

309876944 is an abundant number, since it is smaller than the sum of its proper divisors (345831088).

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

309876944 is a wasteful number, since it uses less digits than its factorization.

309876944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21075 (or 21069 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 50.

The square root of 309876944 is about 17603.3219592212. The cubic root of 309876944 is about 676.7003816776.

The spelling of 309876944 in words is "three hundred nine million, eight hundred seventy-six thousand, nine hundred forty-four".

Divisors: 1 2 4 8 13 16 26 52 71 104 142 208 284 568 923 1136 1846 3692 7384 14768 20983 41966 83932 167864 272779 335728 545558 1091116 1489793 2182232 2979586 4364464 5959172 11918344 19367309 23836688 38734618 77469236 154938472 309876944