Search a number
-
+
83734047 = 3322313907
BaseRepresentation
bin1001111110110…
…10111000011111
312211120010112000
410333122320133
5132413442142
612150413343
72034504405
oct477327037
9184503460
1083734047
11432a16a1
1224061253
1314469b97
14b199475
15754014c
hex4fdae1f

83734047 has 16 divisors (see below), whose sum is σ = 124615680. Its totient is φ = 55568376.

The previous prime is 83734043. The next prime is 83734097. The reversal of 83734047 is 74043738.

It is not a de Polignac number, because 83734047 - 22 = 83734043 is a prime.

It is a super-2 number, since 2×837340472 = 14022781253996418, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83734043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 933 + ... + 12974.

It is an arithmetic number, because the mean of its divisors is an integer number (7788480).

Almost surely, 283734047 is an apocalyptic number.

83734047 is a deficient number, since it is larger than the sum of its proper divisors (40881633).

83734047 is a wasteful number, since it uses less digits than its factorization.

83734047 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14139 (or 14133 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 83734047 is about 9150.6309618518. The cubic root of 83734047 is about 437.4892244421.

The spelling of 83734047 in words is "eighty-three million, seven hundred thirty-four thousand, forty-seven".

Divisors: 1 3 9 27 223 669 2007 6021 13907 41721 125163 375489 3101261 9303783 27911349 83734047