Search a number
-
+
341402424 = 233113733467
BaseRepresentation
bin10100010110010…
…110001100111000
3212210102001002020
4110112112030320
51144344334144
653513234440
711313605226
oct2426261470
9783361066
10341402424
11165792770
1296402a20
1355965a8c
14334adb16
151ee8b419
hex14596338

341402424 has 64 divisors (see below), whose sum is σ = 933863040. Its totient is φ = 103148160.

The previous prime is 341402423. The next prime is 341402459. The reversal of 341402424 is 424204143.

It is a happy number.

It is a super-4 number, since 4×3414024244 (a number of 35 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 341402394 and 341402403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (341402423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96739 + ... + 100205.

It is an arithmetic number, because the mean of its divisors is an integer number (14591610).

Almost surely, 2341402424 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 341402424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466931520).

341402424 is an abundant number, since it is smaller than the sum of its proper divisors (592460616).

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

341402424 is a wasteful number, since it uses less digits than its factorization.

341402424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3860 (or 3856 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 341402424 is about 18477.0783404736. The cubic root of 341402424 is about 698.9115219334.

Adding to 341402424 its reverse (424204143), we get a palindrome (765606567).

The spelling of 341402424 in words is "three hundred forty-one million, four hundred two thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 373 746 1119 1492 2238 2984 3467 4103 4476 6934 8206 8952 10401 12309 13868 16412 20802 24618 27736 32824 38137 41604 49236 76274 83208 98472 114411 152548 228822 305096 457644 915288 1293191 2586382 3879573 5172764 7759146 10345528 14225101 15518292 28450202 31036584 42675303 56900404 85350606 113800808 170701212 341402424