Search a number
-
+
35341434000 = 24355372719
BaseRepresentation
bin100000111010100000…
…110111110010010000
310101020000010212100000
4200322200313302100
51034334401342000
624122521330000
72360536142505
oct407240676220
9111200125300
1035341434000
1113a963554a4
126a23936900
133442b9ac32
1419d39c74ac
15dbca26000
hex83a837c90

35341434000 has 240 divisors, whose sum is σ = 128009306880. Its totient is φ = 9424252800.

The previous prime is 35341433999. The next prime is 35341434013. The reversal of 35341434000 is 43414353.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 449641 + ... + 522359.

It is an arithmetic number, because the mean of its divisors is an integer number (533372112).

Almost surely, 235341434000 is an apocalyptic number.

35341434000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35341434000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64004653440).

35341434000 is an abundant number, since it is smaller than the sum of its proper divisors (92667872880).

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

35341434000 is an equidigital number, since it uses as much as digits as its factorization.

35341434000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72757 (or 72729 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 35341434000 its reverse (43414353), we get a palindrome (35384848353).

The spelling of 35341434000 in words is "thirty-five billion, three hundred forty-one million, four hundred thirty-four thousand".