Search a number
-
+
4349434000 = 24532174717
BaseRepresentation
bin1000000110011111…
…10001100010010000
3102020010020010210011
410003033301202100
532401423342000
61555331244304
7212532402412
oct40317614220
912203203704
104349434000
11193216215a
12a14749694
1354413a0b2
142d39149b2
151a6c9b2ba
hex1033f1890

4349434000 has 40 divisors (see below), whose sum is σ = 10516936248. Its totient is φ = 1739772800.

The previous prime is 4349433997. The next prime is 4349434031. The reversal of 4349434000 is 4349434.

It can be written as a sum of positive squares in 4 ways, for example, as 1318270864 + 3031163136 = 36308^2 + 55056^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×43494340002 = 37835152240712000000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1085359 + ... + 1089358.

Almost surely, 24349434000 is an apocalyptic number.

4349434000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4349434000 is an abundant number, since it is smaller than the sum of its proper divisors (6167502248).

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

4349434000 is a wasteful number, since it uses less digits than its factorization.

4349434000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2174740 (or 2174724 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 31.

The square root of 4349434000 is about 65950.2388168534. The cubic root of 4349434000 is about 1632.3410975650.

4349434000 divided by its reverse (4349434) gives a cube (1000 = 103).

The spelling of 4349434000 in words is "four billion, three hundred forty-nine million, four hundred thirty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 2174717 4349434 8698868 10873585 17397736 21747170 34795472 43494340 54367925 86988680 108735850 173977360 217471700 271839625 434943400 543679250 869886800 1087358500 2174717000 4349434000