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4340440434 = 2311130150549
BaseRepresentation
bin1000000101011010…
…11101110101110010
3102012111022012221010
410002231131311302
532342123043214
61554410411350
7212363064201
oct40255356562
912174265833
104340440434
11192807a160
12a11730b56
1354230b665
142d2653238
151a60c1659
hex102b5dd72

4340440434 has 32 divisors (see below), whose sum is σ = 9477518400. Its totient is φ = 1314248000.

The previous prime is 4340440399. The next prime is 4340440451.

4340440434 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×43404404343 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60592 + ... + 111140.

It is an arithmetic number, because the mean of its divisors is an integer number (296172450).

Almost surely, 24340440434 is an apocalyptic number.

4340440434 is an abundant number, since it is smaller than the sum of its proper divisors (5137077966).

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

4340440434 is a wasteful number, since it uses less digits than its factorization.

4340440434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51866.

The product of its (nonzero) digits is 36864, while the sum is 30.

The square root of 4340440434 is about 65882.0190492064. The cubic root of 4340440434 is about 1631.2152271151.

It can be divided in two parts, 43404 and 40434, that added together give a palindrome (83838).

The spelling of 4340440434 in words is "four billion, three hundred forty million, four hundred forty thousand, four hundred thirty-four".

Divisors: 1 2 3 6 11 22 33 66 1301 2602 3903 7806 14311 28622 42933 50549 85866 101098 151647 303294 556039 1112078 1668117 3336234 65764249 131528498 197292747 394585494 723406739 1446813478 2170220217 4340440434