Search a number
-
+
355075000 = 235572029
BaseRepresentation
bin10101001010100…
…000001110111000
3220202010200022221
4111022200032320
51211344400000
655122253424
711541042040
oct2512401670
9822120287
10355075000
11172481115
129aab7274
1358742167
143522c720
152128c61a
hex152a03b8

355075000 has 96 divisors (see below), whose sum is σ = 951501600. Its totient is φ = 121680000.

The previous prime is 355074959. The next prime is 355075003. The reversal of 355075000 is 570553.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (355075003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 173986 + ... + 176014.

It is an arithmetic number, because the mean of its divisors is an integer number (9911475).

Almost surely, 2355075000 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 355075000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475750800).

355075000 is an abundant number, since it is smaller than the sum of its proper divisors (596426600).

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

355075000 is an equidigital number, since it uses as much as digits as its factorization.

355075000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2067 (or 2043 counting only the distinct ones).

The product of its (nonzero) digits is 2625, while the sum is 25.

The square root of 355075000 is about 18843.4338696534. The cubic root of 355075000 is about 708.1197356731.

The spelling of 355075000 in words is "three hundred fifty-five million, seventy-five thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 350 500 625 700 875 1000 1250 1400 1750 2029 2500 3125 3500 4058 4375 5000 6250 7000 8116 8750 10145 12500 14203 16232 17500 20290 21875 25000 28406 35000 40580 43750 50725 56812 71015 81160 87500 101450 113624 142030 175000 202900 253625 284060 355075 405800 507250 568120 710150 1014500 1268125 1420300 1775375 2029000 2536250 2840600 3550750 5072500 6340625 7101500 8876875 10145000 12681250 14203000 17753750 25362500 35507500 44384375 50725000 71015000 88768750 177537500 355075000