[go: up one dir, main page]

Search a number
-
+
342839808 = 2932471583
BaseRepresentation
bin10100011011110…
…101001000000000
3212220010001210200
4110123311020000
51200231333213
654004125200
711332042653
oct2433651000
9786101720
10342839808
11166584693
1296996800
135604a0bc
143376589a
1520172273
hex146f5200

342839808 has 120 divisors (see below), whose sum is σ = 1011149568. Its totient is φ = 111777792.

The previous prime is 342839797. The next prime is 342839821. The reversal of 342839808 is 808938243.

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, 215785 + ... + 217367.

Almost surely, 2342839808 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 342839808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505574784).

342839808 is an abundant number, since it is smaller than the sum of its proper divisors (668309760).

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

342839808 is a wasteful number, since it uses less digits than its factorization.

342839808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1654 (or 1635 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 342839808 is about 18515.9338948917. The cubic root of 342839808 is about 699.8910088811.

The spelling of 342839808 in words is "three hundred forty-two million, eight hundred thirty-nine thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 47 48 64 72 94 96 128 141 144 188 192 256 282 288 376 384 423 512 564 576 752 768 846 1128 1152 1504 1536 1583 1692 2256 2304 3008 3166 3384 4512 4608 4749 6016 6332 6768 9024 9498 12032 12664 13536 14247 18048 18996 24064 25328 27072 28494 36096 37992 50656 54144 56988 72192 74401 75984 101312 108288 113976 148802 151968 202624 216576 223203 227952 297604 303936 405248 446406 455904 595208 607872 669609 810496 892812 911808 1190416 1215744 1339218 1785624 1823616 2380832 2431488 2678436 3571248 3647232 4761664 5356872 7142496 7294464 9523328 10713744 14284992 19046656 21427488 28569984 38093312 42854976 57139968 85709952 114279936 171419904 342839808