Search a number
-
+
309934764 = 223219676763
BaseRepresentation
bin10010011110010…
…011101010101100
3210121012022120100
4102132103222230
51113320403024
650430551100
710452254616
oct2236235254
9717168510
10309934764
11149a4a637
1287968490
134c298a69
142d23bdb6
151c3227c9
hex12793aac

309934764 has 72 divisors (see below), whose sum is σ = 837112640. Its totient is φ = 96399072.

The previous prime is 309934747. The next prime is 309934777. The reversal of 309934764 is 467439903.

309934764 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42447 + ... + 49209.

Almost surely, 2309934764 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 309934764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418556320).

309934764 is an abundant number, since it is smaller than the sum of its proper divisors (527177876).

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

309934764 is a wasteful number, since it uses less digits than its factorization.

309934764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6859 (or 6854 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The square root of 309934764 is about 17604.9641862743. The cubic root of 309934764 is about 676.7424676126.

The spelling of 309934764 in words is "three hundred nine million, nine hundred thirty-four thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 67 76 114 134 171 201 228 268 342 402 603 684 804 1206 1273 2412 2546 3819 5092 6763 7638 11457 13526 15276 20289 22914 27052 40578 45828 60867 81156 121734 128497 243468 256994 385491 453121 513988 770982 906242 1156473 1359363 1541964 1812484 2312946 2718726 4078089 4625892 5437452 8156178 8609299 16312356 17218598 25827897 34437196 51655794 77483691 103311588 154967382 309934764