Search a number
-
+
355350 = 235223103
BaseRepresentation
bin1010110110000010110
3200001110010
41112300112
542332400
611341050
73010002
oct1266026
9601403
10355350
11222a86
12151786
13c5988
1493702
1570450
hex56c16

355350 has 48 divisors (see below), whose sum is σ = 928512. Its totient is φ = 89760.

The previous prime is 355343. The next prime is 355361. The reversal of 355350 is 53553.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 355350.

It is an unprimeable number.

355350 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3399 + ... + 3501.

It is an arithmetic number, because the mean of its divisors is an integer number (19344).

2355350 is an apocalyptic number.

355350 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 355350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464256).

355350 is an abundant number, since it is smaller than the sum of its proper divisors (573162).

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

355350 is a wasteful number, since it uses less digits than its factorization.

355350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 1125, while the sum is 21.

The square root of 355350 is about 596.1124055076. The cubic root of 355350 is about 70.8302497696.

The spelling of 355350 in words is "three hundred fifty-five thousand, three hundred fifty".

Divisors: 1 2 3 5 6 10 15 23 25 30 46 50 69 75 103 115 138 150 206 230 309 345 515 575 618 690 1030 1150 1545 1725 2369 2575 3090 3450 4738 5150 7107 7725 11845 14214 15450 23690 35535 59225 71070 118450 177675 355350