Search a number
-
+
342948288 = 26331157367
BaseRepresentation
bin10100011100001…
…111100111000000
3212220022120121110
4110130033213000
51200243321123
654010323320
711333004144
oct2434174700
9786276543
10342948288
11166649141
1296a29540
13560875a7
1433793224
1520194493
hex1470f9c0

342948288 has 112 divisors (see below), whose sum is σ = 945188864. Its totient is φ = 109624320.

The previous prime is 342948241. The next prime is 342948289. The reversal of 342948288 is 882849243.

It is a super-2 number, since 2×3429482882 = 235227056484261888, which contains 22 as substring.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342948289) by changing a digit.

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, 934281 + ... + 934647.

Almost surely, 2342948288 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 342948288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472594432).

342948288 is an abundant number, since it is smaller than the sum of its proper divisors (602240576).

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

342948288 is a wasteful number, since it uses less digits than its factorization.

342948288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570 (or 560 counting only the distinct ones).

The product of its digits is 884736, while the sum is 48.

The square root of 342948288 is about 18518.8630320546. The cubic root of 342948288 is about 699.9648200007.

The spelling of 342948288 in words is "three hundred forty-two million, nine hundred forty-eight thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 157 186 192 248 314 367 372 471 496 628 734 744 942 992 1101 1256 1468 1488 1884 1984 2202 2512 2936 2976 3768 4404 4867 5024 5872 5952 7536 8808 9734 10048 11377 11744 14601 15072 17616 19468 22754 23488 29202 30144 34131 35232 38936 45508 57619 58404 68262 70464 77872 91016 115238 116808 136524 155744 172857 182032 230476 233616 273048 311488 345714 364064 460952 467232 546096 691428 728128 921904 934464 1092192 1382856 1786189 1843808 2184384 2765712 3572378 3687616 5358567 5531424 7144756 10717134 11062848 14289512 21434268 28579024 42868536 57158048 85737072 114316096 171474144 342948288