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2434404352 = 2121734961
BaseRepresentation
bin1001000100011010…
…0001000000000000
320021122202112222011
42101012201000000
514441201414402
61041321422304
7114220044532
oct22106410000
96248675864
102434404352
11103a181026
1257b33a994
132ca473563
14191457852
15e3abeed7
hex911a1000

2434404352 has 52 divisors (see below), whose sum is σ = 5154727356. Its totient is φ = 1145569280.

The previous prime is 2434404347. The next prime is 2434404361. The reversal of 2434404352 is 2534044342.

It can be written as a sum of positive squares in 2 ways, for example, as 1454964736 + 979439616 = 38144^2 + 31296^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 52152 + ... + 87112.

Almost surely, 22434404352 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 2434404352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2577363678).

2434404352 is an abundant number, since it is smaller than the sum of its proper divisors (2720323004).

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

2434404352 is an equidigital number, since it uses as much as digits as its factorization.

2434404352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35002 (or 34980 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 31.

The square root of 2434404352 is about 49339.6833390730. The cubic root of 2434404352 is about 1345.2331840973.

Adding to 2434404352 its reverse (2534044342), we get a palindrome (4968448694).

The spelling of 2434404352 in words is "two billion, four hundred thirty-four million, four hundred four thousand, three hundred fifty-two".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 512 544 1024 1088 2048 2176 4096 4352 8704 17408 34816 34961 69632 69922 139844 279688 559376 594337 1118752 1188674 2237504 2377348 4475008 4754696 8950016 9509392 17900032 19018784 35800064 38037568 71600128 76075136 143200256 152150272 304300544 608601088 1217202176 2434404352