Search a number
-
+
355420000 = 2554131367
BaseRepresentation
bin10101001011110…
…100011101100000
3220202210012120201
4111023310131200
51211441420000
655133514544
711544006625
oct2513643540
9822705521
10355420000
11172697341
129b042a54
13588331c0
14352bc34c
152130996a
hex152f4760

355420000 has 120 divisors (see below), whose sum is σ = 942335856. Its totient is φ = 131136000.

The previous prime is 355419997. The next prime is 355420001. The reversal of 355420000 is 24553.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 355420000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (355420001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 259317 + ... + 260683.

Almost surely, 2355420000 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 355420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471167928).

355420000 is an abundant number, since it is smaller than the sum of its proper divisors (586915856).

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

355420000 is a wasteful number, since it uses less digits than its factorization.

355420000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1410 (or 1387 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 19.

The square root of 355420000 is about 18852.5860295080. The cubic root of 355420000 is about 708.3490038825.

Adding to 355420000 its reverse (24553), we get a palindrome (355444553).

The spelling of 355420000 in words is "three hundred fifty-five million, four hundred twenty thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 65 80 100 104 125 130 160 200 208 250 260 325 400 416 500 520 625 650 800 1000 1040 1250 1300 1367 1625 2000 2080 2500 2600 2734 3250 4000 5000 5200 5468 6500 6835 8125 10000 10400 10936 13000 13670 16250 17771 20000 21872 26000 27340 32500 34175 35542 43744 52000 54680 65000 68350 71084 88855 109360 130000 136700 142168 170875 177710 218720 260000 273400 284336 341750 355420 444275 546800 568672 683500 710840 854375 888550 1093600 1367000 1421680 1708750 1777100 2221375 2734000 2843360 3417500 3554200 4442750 5468000 6835000 7108400 8885500 11106875 13670000 14216800 17771000 22213750 27340000 35542000 44427500 71084000 88855000 177710000 355420000