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834747664 = 243122332
BaseRepresentation
bin110001110000010…
…011110100010000
32011011201120112011
4301300103310100
53202143411124
6214455312304
726454144442
oct6160236420
92134646464
10834747664
11399214303
121b367b694
13103c2ab3a
147cc12492
154d43c994
hex31c13d10

834747664 has 45 divisors (see below), whose sum is σ = 1678381509. Its totient is φ = 402176640.

The previous prime is 834747593. The next prime is 834747677. The reversal of 834747664 is 466747438.

It is a happy number.

The square root of 834747664 is 28892.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 169520400 + 665227264 = 13020^2 + 25792^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3582492 + ... + 3582724.

Almost surely, 2834747664 is an apocalyptic number.

834747664 is the 28892-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 834747664

834747664 is an abundant number, since it is smaller than the sum of its proper divisors (843633845).

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

834747664 is an equidigital number, since it uses as much as digits as its factorization.

834747664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536 (or 266 counting only the distinct ones).

The product of its digits is 2709504, while the sum is 49.

The cubic root of 834747664 is about 941.5681024289.

Multiplying 834747664 by its sum of digits (49), we get a square (40902635536 = 2022442).

The spelling of 834747664 in words is "eight hundred thirty-four million, seven hundred forty-seven thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 31 62 124 233 248 466 496 932 961 1864 1922 3728 3844 7223 7688 14446 15376 28892 54289 57784 108578 115568 217156 223913 434312 447826 868624 895652 1682959 1791304 3365918 3582608 6731836 13463672 26927344 52171729 104343458 208686916 417373832 834747664