Search a number
-
+
341812480 = 285972753
BaseRepresentation
bin10100010111111…
…010010100000000
3212211011212120111
4110113322110000
51200000444410
653530121104
711320233562
oct2427722400
9784155514
10341812480
11165a42859
1296580194
1355a7a609
1433579332
152001cb8a
hex145fa500

341812480 has 72 divisors (see below), whose sum is σ = 827488872. Its totient is φ = 135266304.

The previous prime is 341812459. The next prime is 341812487. The reversal of 341812480 is 84218143.

It can be written as a sum of positive squares in 4 ways, for example, as 94945536 + 246866944 = 9744^2 + 15712^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (341812487) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 122784 + ... + 125536.

It is an arithmetic number, because the mean of its divisors is an integer number (11492901).

Almost surely, 2341812480 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 341812480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413744436).

341812480 is an abundant number, since it is smaller than the sum of its proper divisors (485676392).

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

341812480 is an equidigital number, since it uses as much as digits as its factorization.

341812480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2871 (or 2857 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 31.

The square root of 341812480 is about 18488.1713535980. The cubic root of 341812480 is about 699.1912291820.

The spelling of 341812480 in words is "three hundred forty-one million, eight hundred twelve thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 97 128 160 194 256 320 388 485 640 776 970 1280 1552 1940 2753 3104 3880 5506 6208 7760 11012 12416 13765 15520 22024 24832 27530 31040 44048 55060 62080 88096 110120 124160 176192 220240 267041 352384 440480 534082 704768 880960 1068164 1335205 1761920 2136328 2670410 3523840 4272656 5340820 8545312 10681640 17090624 21363280 34181248 42726560 68362496 85453120 170906240 341812480