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804319344 = 24328997647
BaseRepresentation
bin101111111100001…
…111000001110000
32002001110122201100
4233330033001300
53121401204334
6211451204400
725634413233
oct5774170160
92061418640
10804319344
11383021034
121a5446700
13ca835c0a
1478b7141a
154a92bc99
hex2ff0f070

804319344 has 120 divisors (see below), whose sum is σ = 2303290080. Its totient is φ = 261955584.

The previous prime is 804319337. The next prime is 804319391. The reversal of 804319344 is 443913408.

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

It is a junction number, because it is equal to n+sod(n) for n = 804319299 and 804319308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1242829 + ... + 1243475.

It is an arithmetic number, because the mean of its divisors is an integer number (19194084).

Almost surely, 2804319344 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 804319344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1151645040).

804319344 is an abundant number, since it is smaller than the sum of its proper divisors (1498970736).

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

804319344 is a wasteful number, since it uses less digits than its factorization.

804319344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 847 (or 838 counting only the distinct ones).

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

The square root of 804319344 is about 28360.5243957160. The cubic root of 804319344 is about 929.9854871131.

The spelling of 804319344 in words is "eight hundred four million, three hundred nineteen thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 89 97 144 178 194 267 291 356 388 534 582 647 712 776 801 873 1068 1164 1294 1424 1552 1602 1746 1941 2136 2328 2588 3204 3492 3882 4272 4656 5176 5823 6408 6984 7764 8633 10352 11646 12816 13968 15528 17266 23292 25899 31056 34532 46584 51798 57583 62759 69064 77697 93168 103596 115166 125518 138128 155394 172749 188277 207192 230332 251036 310788 345498 376554 414384 460664 502072 518247 564831 621576 690996 753108 921328 1004144 1036494 1129662 1243152 1381992 1506216 2072988 2259324 2763984 3012432 4145976 4518648 5585551 8291952 9037296 11171102 16756653 22342204 33513306 44684408 50269959 67026612 89368816 100539918 134053224 201079836 268106448 402159672 804319344