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704240040 = 233575771453
BaseRepresentation
bin101001111110011…
…101100110101000
31211002011002201110
4221332131212220
52420241140130
6153514150320
723310640650
oct5176354650
91732132643
10704240040
11331585a69
12177a223a0
13b2b952aa
146975d360
1541c5dab0
hex29f9d9a8

704240040 has 128 divisors (see below), whose sum is σ = 2420386560. Its totient is φ = 160579584.

The previous prime is 704240027. The next prime is 704240041. The reversal of 704240040 is 40042407.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 704239989 and 704240016.

It is not an unprimeable number, because it can be changed into a prime (704240041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 483954 + ... + 485406.

It is an arithmetic number, because the mean of its divisors is an integer number (18909270).

Almost surely, 2704240040 is an apocalyptic number.

704240040 is a gapful number since it is divisible by the number (70) 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 704240040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1210193280).

704240040 is an abundant number, since it is smaller than the sum of its proper divisors (1716146520).

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

704240040 is a wasteful number, since it uses less digits than its factorization.

704240040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2051 (or 2047 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 21.

The square root of 704240040 is about 26537.5213612726. The cubic root of 704240040 is about 889.6931315910.

Adding to 704240040 its reverse (40042407), we get a palindrome (744282447).

The spelling of 704240040 in words is "seven hundred four million, two hundred forty thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 577 840 1154 1453 1731 2308 2885 2906 3462 4039 4359 4616 5770 5812 6924 7265 8078 8655 8718 10171 11540 11624 12117 13848 14530 16156 17310 17436 20195 20342 21795 23080 24234 29060 30513 32312 34620 34872 40390 40684 43590 48468 50855 58120 60585 61026 69240 80780 81368 87180 96936 101710 121170 122052 152565 161560 174360 203420 242340 244104 305130 406840 484680 610260 838381 1220520 1676762 2515143 3353524 4191905 5030286 5868667 6707048 8383810 10060572 11737334 12575715 16767620 17606001 20121144 23474668 25151430 29343335 33535240 35212002 46949336 50302860 58686670 70424004 88030005 100605720 117373340 140848008 176060010 234746680 352120020 704240040