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1983434445 = 34522132
BaseRepresentation
bin111011000111000…
…1100111011001101
312010020011220120000
41312032030323031
513030224400240
6524451514513
7100102625466
oct16616147315
95106156500
101983434445
11928662723
124742b8a39
13257bc7265
1414b5c5d6d
15b91de430
hex7638cecd

1983434445 has 30 divisors (see below), whose sum is σ = 3557097258. Its totient is φ = 1057353696.

The previous prime is 1983434437. The next prime is 1983434449. The reversal of 1983434445 is 5444343891.

It can be written as a sum of positive squares in 3 ways, for example, as 1443848004 + 539586441 = 37998^2 + 23229^2 .

It is not a de Polignac number, because 1983434445 - 23 = 1983434437 is a prime.

It is a super-2 number, since 2×19834344452 = 7868024395224916050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 1983434445.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1983434449) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 895159 + ... + 897371.

Almost surely, 21983434445 is an apocalyptic number.

1983434445 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1983434445 is a deficient number, since it is larger than the sum of its proper divisors (1573662813).

1983434445 is an frugal number, since it uses more digits than its factorization.

1983434445 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4443 (or 2221 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The square root of 1983434445 is about 44535.7659078633. The cubic root of 1983434445 is about 1256.4328528668.

Multiplying 1983434445 by its sum of digits (45), we get a square (89254550025 = 2987552).

1983434445 divided by its sum of digits (45) gives a square (44076321 = 66392).

The spelling of 1983434445 in words is "one billion, nine hundred eighty-three million, four hundred thirty-four thousand, four hundred forty-five".

Divisors: 1 3 5 9 15 27 45 81 135 405 2213 6639 11065 19917 33195 59751 99585 179253 298755 896265 4897369 14692107 24486845 44076321 73460535 132228963 220381605 396686889 661144815 1983434445