Search a number
-
+
834704016 = 243313715161
BaseRepresentation
bin110001110000001…
…001001010010000
32011011122100122120
4301300021022100
53202141012031
6214454334240
726453603256
oct6160111220
92134570576
10834704016
11399194533
121b365a380
13103c14003
147cc005d6
154d42ea96
hex31c09290

834704016 has 80 divisors (see below), whose sum is σ = 2286187008. Its totient is φ = 261964800.

The previous prime is 834704011. The next prime is 834704027. The reversal of 834704016 is 610407438.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (834704011) 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, 47476 + ... + 62636.

Almost surely, 2834704016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 834704016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1143093504).

834704016 is an abundant number, since it is smaller than the sum of its proper divisors (1451482992).

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

834704016 is a wasteful number, since it uses less digits than its factorization.

834704016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15240 (or 15234 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 834704016 is about 28891.2446253186. The cubic root of 834704016 is about 941.5516909700.

The spelling of 834704016 in words is "eight hundred thirty-four million, seven hundred four thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 31 37 48 62 74 93 111 124 148 186 222 248 296 372 444 496 592 744 888 1147 1488 1776 2294 3441 4588 6882 9176 13764 15161 18352 27528 30322 45483 55056 60644 90966 121288 181932 242576 363864 469991 560957 727728 939982 1121914 1409973 1682871 1879964 2243828 2819946 3365742 3759928 4487656 5639892 6731484 7519856 8975312 11279784 13462968 17389667 22559568 26925936 34779334 52169001 69558668 104338002 139117336 208676004 278234672 417352008 834704016