Search a number
-
+
834193248 = 25372177337
BaseRepresentation
bin110001101110001…
…100011101100000
32011010200102000020
4301232030131200
53202023140443
6214435353440
726446345200
oct6156143540
92133612006
10834193248
11398975809
121b3452880
13103a95695
147cb0a400
154d37d583
hex31b8c760

834193248 has 72 divisors (see below), whose sum is σ = 2547283032. Its totient is φ = 238339584.

The previous prime is 834193219. The next prime is 834193253. The reversal of 834193248 is 842391438.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 83965 + ... + 93372.

It is an arithmetic number, because the mean of its divisors is an integer number (35378931).

Almost surely, 2834193248 is an apocalyptic number.

It is an amenable number.

834193248 is an abundant number, since it is smaller than the sum of its proper divisors (1713089784).

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

834193248 is a wasteful number, since it uses less digits than its factorization.

834193248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177364 (or 177349 counting only the distinct ones).

The product of its digits is 165888, while the sum is 42.

The square root of 834193248 is about 28882.4037780791. The cubic root of 834193248 is about 941.3596018817.

The spelling of 834193248 in words is "eight hundred thirty-four million, one hundred ninety-three thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 196 224 294 336 392 588 672 784 1176 1568 2352 4704 177337 354674 532011 709348 1064022 1241359 1418696 2128044 2482718 2837392 3724077 4256088 4965436 5674784 7448154 8512176 8689513 9930872 14896308 17024352 17379026 19861744 26068539 29792616 34758052 39723488 52137078 59585232 69516104 104274156 119170464 139032208 208548312 278064416 417096624 834193248