Search a number
-
+
341410500 = 22325375869
BaseRepresentation
bin10100010110011…
…000001011000100
3212210102110011100
4110112120023010
51144400114000
653513340100
711313640614
oct2426301304
9783373140
10341410500
11165798842
1296407630
1355969662
14334b2a44
151ee8da00
hex145982c4

341410500 has 72 divisors (see below), whose sum is σ = 1077050520. Its totient is φ = 91041600.

The previous prime is 341410499. The next prime is 341410501. The reversal of 341410500 is 5014143.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (341410499) and next prime (341410501).

It can be written as a sum of positive squares in 4 ways, for example, as 6081156 + 335329344 = 2466^2 + 18312^2 .

It is a super-2 number, since 2×3414105002 = 233122259020500000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (341410501) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 33435 + ... + 42434.

It is an arithmetic number, because the mean of its divisors is an integer number (14959035).

Almost surely, 2341410500 is an apocalyptic number.

341410500 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

341410500 is an abundant number, since it is smaller than the sum of its proper divisors (735640020).

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

341410500 is a wasteful number, since it uses less digits than its factorization.

341410500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75894 (or 75879 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 341410500 is about 18477.2968802257. The cubic root of 341410500 is about 698.9170328931.

Adding to 341410500 its reverse (5014143), we get a palindrome (346424643).

The spelling of 341410500 in words is "three hundred forty-one million, four hundred ten thousand, five hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 125 150 180 225 250 300 375 450 500 750 900 1125 1500 2250 4500 75869 151738 227607 303476 379345 455214 682821 758690 910428 1138035 1365642 1517380 1896725 2276070 2731284 3414105 3793450 4552140 5690175 6828210 7586900 9483625 11380350 13656420 17070525 18967250 22760700 28450875 34141050 37934500 56901750 68282100 85352625 113803500 170705250 341410500