Search a number
-
+
354050000000 = 27587397
BaseRepresentation
bin1010010011011110000…
…01100100010010000000
31020211212100112111220222
411021233001210102000
521300043300000000
6430352012122212
734402455226304
oct5115701442200
91224770474828
10354050000000
11127173aa4294
125874a766368
1327504978428
14131c96bdd04
1593228a3a85
hex526f064480

354050000000 has 288 divisors, whose sum is σ = 902958522060. Its totient is φ = 138240000000.

The previous prime is 354049999993. The next prime is 354050000111. The reversal of 354050000000 is 50453.

It can be written as a sum of positive squares in 18 ways, for example, as 254411289664 + 99638710336 = 504392^2 + 315656^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3649999952 + ... + 3650000048.

Almost surely, 2354050000000 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 354050000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451479261030).

354050000000 is an abundant number, since it is smaller than the sum of its proper divisors (548908522060).

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

354050000000 is an frugal number, since it uses more digits than its factorization.

354050000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 17.

Adding to 354050000000 its reverse (50453), we get a palindrome (354050050453).

The spelling of 354050000000 in words is "three hundred fifty-four billion, fifty million", and thus it is an aban number.