Search a number
-
+
353000000 = 2656353
BaseRepresentation
bin10101000010100…
…101101001000000
3220121020020222002
4111002211221000
51210332000000
655010003132
711514310343
oct2502455100
9817206862
10353000000
11171294141
129a2764a8
1358196852
1434c4c45a
1520ecc8d5
hex150a5a40

353000000 has 98 divisors (see below), whose sum is σ = 878074698. Its totient is φ = 140800000.

The previous prime is 352999987. The next prime is 353000003. The reversal of 353000000 is 353.

It can be written as a sum of positive squares in 7 ways, for example, as 350737984 + 2262016 = 18728^2 + 1504^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (353000003) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 999824 + ... + 1000176.

Almost surely, 2353000000 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 353000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439037349).

353000000 is an abundant number, since it is smaller than the sum of its proper divisors (525074698).

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

353000000 is an frugal number, since it uses more digits than its factorization.

353000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 45, while the sum is 11.

The square root of 353000000 is about 18788.2942280559. The cubic root of 353000000 is about 706.7376614722.

Adding to 353000000 its reverse (353), we get a palindrome (353000353).

Multiplying 353000000 by its reverse (353), we get a square (124609000000 = 3530002).

353000000 divided by its reverse (353) gives a 6-th power (1000000 = 106).

The spelling of 353000000 in words is "three hundred fifty-three million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 353 400 500 625 706 800 1000 1250 1412 1600 1765 2000 2500 2824 3125 3530 4000 5000 5648 6250 7060 8000 8825 10000 11296 12500 14120 15625 17650 20000 22592 25000 28240 31250 35300 40000 44125 50000 56480 62500 70600 88250 100000 112960 125000 141200 176500 200000 220625 250000 282400 353000 441250 500000 564800 706000 882500 1000000 1103125 1412000 1765000 2206250 2824000 3530000 4412500 5515625 7060000 8825000 11031250 14120000 17650000 22062500 35300000 44125000 70600000 88250000 176500000 353000000