Search a number
-
+
2083970343 = 372137611433
BaseRepresentation
bin111110000110110…
…1101110100100111
312101020100122212210
41330031231310213
513231444022333
6542442414503
7102433312200
oct17415556447
95336318783
102083970343
1197a38a844
124a1b01433
13272997960
1415aab65a7
15c2e4ca63
hex7c36dd27

2083970343 has 48 divisors (see below), whose sum is σ = 3487923936. Its totient is φ = 1097026560.

The previous prime is 2083970327. The next prime is 2083970359. The reversal of 2083970343 is 3430793802.

It is an interprime number because it is at equal distance from previous prime (2083970327) and next prime (2083970359).

It is not a de Polignac number, because 2083970343 - 24 = 2083970327 is a prime.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2083970243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1453555 + ... + 1454987.

It is an arithmetic number, because the mean of its divisors is an integer number (72665082).

Almost surely, 22083970343 is an apocalyptic number.

2083970343 is a deficient number, since it is larger than the sum of its proper divisors (1403953593).

2083970343 is a wasteful number, since it uses less digits than its factorization.

2083970343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2224 (or 2217 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 39.

The square root of 2083970343 is about 45650.5240167076. The cubic root of 2083970343 is about 1277.3125464618.

The spelling of 2083970343 in words is "two billion, eighty-three million, nine hundred seventy thousand, three hundred forty-three".

Divisors: 1 3 7 13 21 39 49 91 147 273 637 761 1433 1911 2283 4299 5327 9893 10031 15981 18629 29679 30093 37289 55887 69251 70217 111867 130403 207753 210651 391209 484757 912821 1090513 1454271 2738463 3271539 7633591 14176669 22900773 42530007 53435137 99236683 160305411 297710049 694656781 2083970343