Search a number
-
+
343765044 = 223271638369
BaseRepresentation
bin10100011111010…
…111000000110100
3212221212001222200
4110133113000310
51201000440134
654040024500
711342645310
oct2437270064
9787761880
10343765044
11167056847
1297162130
13562b228c
1433926b40
15202a6499
hex147d7034

343765044 has 72 divisors (see below), whose sum is σ = 999311040. Its totient is φ = 97604352.

The previous prime is 343764989. The next prime is 343765067. The reversal of 343765044 is 440567343.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36892 + ... + 45260.

It is an arithmetic number, because the mean of its divisors is an integer number (13879320).

Almost surely, 2343765044 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 343765044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499655520).

343765044 is an abundant number, since it is smaller than the sum of its proper divisors (655545996).

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

343765044 is a wasteful number, since it uses less digits than its factorization.

343765044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8549 (or 8544 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

The square root of 343765044 is about 18540.9019198096. The cubic root of 343765044 is about 700.5200516371.

The spelling of 343765044 in words is "three hundred forty-three million, seven hundred sixty-five thousand, forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 163 252 326 489 652 978 1141 1467 1956 2282 2934 3423 4564 5868 6846 8369 10269 13692 16738 20538 25107 33476 41076 50214 58583 75321 100428 117166 150642 175749 234332 301284 351498 527247 702996 1054494 1364147 2108988 2728294 4092441 5456588 8184882 9549029 12277323 16369764 19098058 24554646 28647087 38196116 49109292 57294174 85941261 114588348 171882522 343765044