Search a number
-
+
341049800 = 235272132677
BaseRepresentation
bin10100010101000…
…000000111001000
3212202202010101002
4110111000013020
51144302043200
653501514132
711310606200
oct2425000710
9782663332
10341049800
11165571843
1296272948
1355871420
143341b400
151ee1bbd5
hex145401c8

341049800 has 144 divisors (see below), whose sum is σ = 993725460. Its totient is φ = 107896320.

The previous prime is 341049799. The next prime is 341049803. The reversal of 341049800 is 8940143.

It can be written as a sum of positive squares in 6 ways, for example, as 5207524 + 335842276 = 2282^2 + 18326^2 .

It is not an unprimeable number, because it can be changed into a prime (341049803) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 126062 + ... + 128738.

Almost surely, 2341049800 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 341049800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496862730).

341049800 is an abundant number, since it is smaller than the sum of its proper divisors (652675660).

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

341049800 is a wasteful number, since it uses less digits than its factorization.

341049800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2720 (or 2704 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 341049800 is about 18467.5336739912. The cubic root of 341049800 is about 698.6708110117.

Adding to 341049800 its reverse (8940143), we get a palindrome (349989943).

The spelling of 341049800 in words is "three hundred forty-one million, forty-nine thousand, eight hundred".

Divisors: 1 2 4 5 7 8 10 13 14 20 25 26 28 35 40 49 50 52 56 65 70 91 98 100 104 130 140 175 182 196 200 245 260 280 325 350 364 392 455 490 520 637 650 700 728 910 980 1225 1274 1300 1400 1820 1960 2275 2450 2548 2600 2677 3185 3640 4550 4900 5096 5354 6370 9100 9800 10708 12740 13385 15925 18200 18739 21416 25480 26770 31850 34801 37478 53540 63700 66925 69602 74956 93695 107080 127400 131173 133850 139204 149912 174005 187390 243607 262346 267700 278408 348010 374780 468475 487214 524692 535400 655865 696020 749560 870025 936950 974428 1049384 1218035 1311730 1392040 1705249 1740050 1873900 1948856 2436070 2623460 3279325 3410498 3480100 3747800 4872140 5246920 6090175 6558650 6820996 6960200 8526245 9744280 12180350 13117300 13641992 17052490 24360700 26234600 34104980 42631225 48721400 68209960 85262450 170524900 341049800