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800234496 = 21032312801
BaseRepresentation
bin101111101100101…
…001110000000000
32001202210010100200
4233230221300000
53114330000441
6211223445200
725554611115
oct5754516000
92052703320
10800234496
11380791026
121a3bb6800
13c9a35849
14783ca90c
154a3c17b6
hex2fb29c00

800234496 has 132 divisors (see below), whose sum is σ = 2386048704. Its totient is φ = 258048000.

The previous prime is 800234443. The next prime is 800234507. The reversal of 800234496 is 694432008.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 800234496.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 284296 + ... + 287096.

Almost surely, 2800234496 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 800234496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1193024352).

800234496 is an abundant number, since it is smaller than the sum of its proper divisors (1585814208).

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

800234496 is a wasteful number, since it uses less digits than its factorization.

800234496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2858 (or 2837 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 800234496 is about 28288.4162865297. The cubic root of 800234496 is about 928.4084606963.

The spelling of 800234496 in words is "eight hundred million, two hundred thirty-four thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 64 72 93 96 124 128 144 186 192 248 256 279 288 372 384 496 512 558 576 744 768 992 1024 1116 1152 1488 1536 1984 2232 2304 2801 2976 3072 3968 4464 4608 5602 5952 7936 8403 8928 9216 11204 11904 15872 16806 17856 22408 23808 25209 31744 33612 35712 44816 47616 50418 67224 71424 86831 89632 95232 100836 134448 142848 173662 179264 201672 260493 268896 285696 347324 358528 403344 520986 537792 694648 717056 781479 806688 1041972 1075584 1389296 1434112 1562958 1613376 2083944 2151168 2778592 2868224 3125916 3226752 4167888 4302336 5557184 6251832 6453504 8335776 8604672 11114368 12503664 12907008 16671552 22228736 25007328 25814016 33343104 44457472 50014656 66686208 88914944 100029312 133372416 200058624 266744832 400117248 800234496