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834770464 = 25112324483
BaseRepresentation
bin110001110000011…
…001011000100000
32011011202201210121
4301300121120200
53202200123324
6214500010024
726454301063
oct6160313040
92134681717
10834770464
1139922a450
121b3690914
13103c38328
147cc1a8da
154d4445e4
hex31c19620

834770464 has 72 divisors (see below), whose sum is σ = 1874616912. Its totient is φ = 362862720.

The previous prime is 834770429. The next prime is 834770467. The reversal of 834770464 is 464077438.

It is a self number, because there is not a number n which added to its sum of digits gives 834770464.

It is not an unprimeable number, because it can be changed into a prime (834770467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 183967 + ... + 188449.

It is an arithmetic number, because the mean of its divisors is an integer number (26036346).

Almost surely, 2834770464 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 834770464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (937308456).

834770464 is an abundant number, since it is smaller than the sum of its proper divisors (1039846448).

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

834770464 is a wasteful number, since it uses less digits than its factorization.

834770464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4550 (or 4519 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 43.

The square root of 834770464 is about 28892.3945701979. The cubic root of 834770464 is about 941.5766749027.

The spelling of 834770464 in words is "eight hundred thirty-four million, seven hundred seventy thousand, four hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 88 92 176 184 253 352 368 506 529 736 1012 1058 2024 2116 4048 4232 4483 5819 8096 8464 8966 11638 16928 17932 23276 35864 46552 49313 71728 93104 98626 103109 143456 186208 197252 206218 394504 412436 789008 824872 1134199 1578016 1649744 2268398 2371507 3299488 4536796 4743014 9073592 9486028 18147184 18972056 26086577 36294368 37944112 52173154 75888224 104346308 208692616 417385232 834770464