Search a number
-
+
342349296 = 24319223859
BaseRepresentation
bin10100011001111…
…101010111110000
3212212012010221120
4110121331113300
51200120134141
653545422240
711324630622
oct2431752760
9785163846
10342349296
1116627a103
129679a980
1355c07a63
1433678c12
15200c6c66
hex1467d5f0

342349296 has 120 divisors (see below), whose sum is σ = 975116160. Its totient is φ = 103289472.

The previous prime is 342349289. The next prime is 342349351. The reversal of 342349296 is 692943243.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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, 398115 + ... + 398973.

It is an arithmetic number, because the mean of its divisors is an integer number (8125968).

Almost surely, 2342349296 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 342349296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487558080).

342349296 is an abundant number, since it is smaller than the sum of its proper divisors (632766864).

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

342349296 is a wasteful number, since it uses less digits than its factorization.

342349296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 931 (or 906 counting only the distinct ones).

The product of its digits is 279936, while the sum is 42.

The square root of 342349296 is about 18502.6834810521. The cubic root of 342349296 is about 699.5570640021.

The spelling of 342349296 in words is "three hundred forty-two million, three hundred forty-nine thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 19 23 24 38 46 48 57 69 76 92 114 138 152 184 228 276 304 361 368 437 456 552 722 859 874 912 1083 1104 1311 1444 1718 1748 2166 2577 2622 2888 3436 3496 4332 5154 5244 5776 6872 6992 8303 8664 10308 10488 13744 16321 16606 17328 19757 20616 20976 24909 32642 33212 39514 41232 48963 49818 59271 65284 66424 79028 97926 99636 118542 130568 132848 158056 195852 199272 237084 261136 310099 316112 375383 391704 398544 474168 620198 750766 783408 930297 948336 1126149 1240396 1501532 1860594 2252298 2480792 3003064 3721188 4504596 4961584 6006128 7132277 7442376 9009192 14264554 14884752 18018384 21396831 28529108 42793662 57058216 85587324 114116432 171174648 342349296