Search a number
-
+
347744340 = 22345214657
BaseRepresentation
bin10100101110100…
…010100001010100
3220020100020120000
4110232202201110
51203010304330
654301211300
711421530616
oct2456424124
9806306500
10347744340
11169324519
1298560b30
13570765a8
1434280db6
15207e0560
hex14ba2854

347744340 has 60 divisors (see below), whose sum is σ = 1090891956. Its totient is φ = 92731392.

The previous prime is 347744317. The next prime is 347744351. The reversal of 347744340 is 43447743.

It can be written as a sum of positive squares in 2 ways, for example, as 40373316 + 307371024 = 6354^2 + 17532^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×3477443402 = 241852252004071200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 347744295 and 347744304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 105709 + ... + 108948.

Almost surely, 2347744340 is an apocalyptic number.

347744340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

347744340 is an abundant number, since it is smaller than the sum of its proper divisors (743147616).

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

347744340 is a wasteful number, since it uses less digits than its factorization.

347744340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214678 (or 214667 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 36.

The square root of 347744340 is about 18647.9044399096. The cubic root of 347744340 is about 703.2126749337.

The spelling of 347744340 in words is "three hundred forty-seven million, seven hundred forty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 214657 429314 643971 858628 1073285 1287942 1931913 2146570 2575884 3219855 3863826 4293140 5795739 6439710 7727652 9659565 11591478 12879420 17387217 19319130 23182956 28978695 34774434 38638260 57957390 69548868 86936085 115914780 173872170 347744340