Search a number
-
+
830575704 = 233737413259
BaseRepresentation
bin110001100000011…
…001010001011000
32010212212121200010
4301200121101120
53200111410304
6214230041520
726403530340
oct6140312130
92125777603
10830575704
11396924902
121b21a92a0
131030c9c1a
147c447d20
154cdb6789
hex31819458

830575704 has 128 divisors (see below), whose sum is σ = 2497420800. Its totient is φ = 225192960.

The previous prime is 830575699. The next prime is 830575717. The reversal of 830575704 is 407575038.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 253227 + ... + 256485.

It is an arithmetic number, because the mean of its divisors is an integer number (19511100).

Almost surely, 2830575704 is an apocalyptic number.

830575704 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 830575704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1248710400).

830575704 is an abundant number, since it is smaller than the sum of its proper divisors (1666845096).

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

830575704 is a wasteful number, since it uses less digits than its factorization.

830575704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3353 (or 3349 counting only the distinct ones).

The product of its (nonzero) digits is 117600, while the sum is 39.

The square root of 830575704 is about 28819.7103385860. The cubic root of 830575704 is about 939.9968703683.

The spelling of 830575704 in words is "eight hundred thirty million, five hundred seventy-five thousand, seven hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 37 41 42 56 74 82 84 111 123 148 164 168 222 246 259 287 296 328 444 492 518 574 777 861 888 984 1036 1148 1517 1554 1722 2072 2296 3034 3108 3259 3444 4551 6068 6216 6518 6888 9102 9777 10619 12136 13036 18204 19554 21238 22813 26072 31857 36408 39108 42476 45626 63714 68439 78216 84952 91252 120583 127428 133619 136878 182504 241166 254856 267238 273756 361749 400857 482332 534476 547512 723498 801714 844081 935333 964664 1068952 1446996 1603428 1688162 1870666 2532243 2805999 2893992 3206856 3376324 3741332 4943903 5064486 5611998 6752648 7482664 9887806 10128972 11223996 14831709 19775612 20257944 22447992 29663418 34607321 39551224 59326836 69214642 103821963 118653672 138429284 207643926 276858568 415287852 830575704