Search a number
-
+
344711328 = 25313221247
BaseRepresentation
bin10100100010111…
…110000010100000
3220000122011001020
4110202332002200
51201221230303
654112205440
711353666203
oct2442760240
9800564036
10344711328
111676427a5
1297539880
1356553c00
1433ad193a
15203e1a53
hex148be0a0

344711328 has 72 divisors (see below), whose sum is σ = 979872768. Its totient is φ = 106060032.

The previous prime is 344711309. The next prime is 344711347. The reversal of 344711328 is 823117443.

It is an interprime number because it is at equal distance from previous prime (344711309) and next prime (344711347).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5601 + ... + 26847.

It is an arithmetic number, because the mean of its divisors is an integer number (13609344).

Almost surely, 2344711328 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 344711328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489936384).

344711328 is an abundant number, since it is smaller than the sum of its proper divisors (635161440).

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

344711328 is a wasteful number, since it uses less digits than its factorization.

344711328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21286 (or 21265 counting only the distinct ones).

The product of its digits is 16128, while the sum is 33.

The square root of 344711328 is about 18566.4032057908. The cubic root of 344711328 is about 701.1622379295.

The spelling of 344711328 in words is "three hundred forty-four million, seven hundred eleven thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 169 208 312 338 416 507 624 676 1014 1248 1352 2028 2704 4056 5408 8112 16224 21247 42494 63741 84988 127482 169976 254964 276211 339952 509928 552422 679904 828633 1019856 1104844 1657266 2039712 2209688 3314532 3590743 4419376 6629064 7181486 8838752 10772229 13258128 14362972 21544458 26516256 28725944 43088916 57451888 86177832 114903776 172355664 344711328