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834213680 = 24523453377
BaseRepresentation
bin110001101110010…
…001011100110000
32011010201110000222
4301232101130300
53202024314210
6214440032212
726446461566
oct6156213460
92133643028
10834213680
1139898a0a3
121b3462668
13103aa1a81
147cb13a36
154d384655
hex31b91730

834213680 has 40 divisors (see below), whose sum is σ = 2023879392. Its totient is φ = 319176704.

The previous prime is 834213629. The next prime is 834213683. The reversal of 834213680 is 86312438.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 834213680.

It is not an unprimeable number, because it can be changed into a prime (834213683) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 224849 + ... + 228528.

Almost surely, 2834213680 is an apocalyptic number.

834213680 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

834213680 is an abundant number, since it is smaller than the sum of its proper divisors (1189665712).

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

834213680 is a wasteful number, since it uses less digits than its factorization.

834213680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453413 (or 453407 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 35.

The square root of 834213680 is about 28882.7574860850. The cubic root of 834213680 is about 941.3672874319.

It can be divided in two parts, 8342 and 13680, that added together give a palindrome (22022).

The spelling of 834213680 in words is "eight hundred thirty-four million, two hundred thirteen thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 115 184 230 368 460 920 1840 453377 906754 1813508 2266885 3627016 4533770 7254032 9067540 10427671 18135080 20855342 36270160 41710684 52138355 83421368 104276710 166842736 208553420 417106840 834213680