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804032240 = 245111078539
BaseRepresentation
bin101111111011001…
…000111011110000
32002000221001212212
4233323020323300
53121313012430
6211441111252
725632106214
oct5773107360
92060831785
10804032240
11382945360
121a5328528
13ca76532b
1478ad8944
154a8c1b95
hex2fec8ef0

804032240 has 80 divisors (see below), whose sum is σ = 2058618240. Its totient is φ = 289608960.

The previous prime is 804032239. The next prime is 804032261. The reversal of 804032240 is 42230408.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89891 + ... + 98429.

It is an arithmetic number, because the mean of its divisors is an integer number (25732728).

Almost surely, 2804032240 is an apocalyptic number.

804032240 is a gapful number since it is divisible by the number (80) 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 804032240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1029309120).

804032240 is an abundant number, since it is smaller than the sum of its proper divisors (1254586000).

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

804032240 is a wasteful number, since it uses less digits than its factorization.

804032240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8670 (or 8664 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 804032240 is about 28355.4622603829. The cubic root of 804032240 is about 929.8748203194.

Adding to 804032240 its reverse (42230408), we get a palindrome (846262648).

The spelling of 804032240 in words is "eight hundred four million, thirty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 107 110 176 214 220 428 440 535 856 880 1070 1177 1712 2140 2354 4280 4708 5885 8539 8560 9416 11770 17078 18832 23540 34156 42695 47080 68312 85390 93929 94160 136624 170780 187858 341560 375716 469645 683120 751432 913673 939290 1502864 1827346 1878580 3654692 3757160 4568365 7309384 7514320 9136730 10050403 14618768 18273460 20100806 36546920 40201612 50252015 73093840 80403224 100504030 160806448 201008060 402016120 804032240