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3404025540 = 223359916361
BaseRepresentation
bin1100101011100101…
…0100111011000100
322210020021102012000
43022321110323010
523432412304130
61321440025300
7150232511466
oct31271247304
98706242160
103404025540
111497535853
127b0002230
134233051c6
14244138136
1514dca0260
hexcae54ec4

3404025540 has 96 divisors (see below), whose sum is σ = 10602654720. Its totient is φ = 906681600.

The previous prime is 3404025529. The next prime is 3404025563. The reversal of 3404025540 is 455204043.

3404025540 is a `hidden beast` number, since 3 + 404 + 0 + 255 + 4 + 0 = 666.

3404025540 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 531960 + ... + 538320.

It is an arithmetic number, because the mean of its divisors is an integer number (110444320).

Almost surely, 23404025540 is an apocalyptic number.

3404025540 is a gapful number since it is divisible by the number (30) 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 3404025540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5301327360).

3404025540 is an abundant number, since it is smaller than the sum of its proper divisors (7198629180).

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

3404025540 is a wasteful number, since it uses less digits than its factorization.

3404025540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7370 (or 7362 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The square root of 3404025540 is about 58344.0274578298. The cubic root of 3404025540 is about 1504.2878114365.

Adding to 3404025540 its reverse (455204043), we get a palindrome (3859229583).

The spelling of 3404025540 in words is "three billion, four hundred four million, twenty-five thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 991 1982 2973 3964 4955 5946 6361 8919 9910 11892 12722 14865 17838 19083 19820 25444 26757 29730 31805 35676 38166 44595 53514 57249 59460 63610 76332 89190 95415 107028 114498 127220 133785 171747 178380 190830 228996 267570 286245 343494 381660 535140 572490 686988 858735 1144980 1717470 3434940 6303751 12607502 18911253 25215004 31518755 37822506 56733759 63037510 75645012 94556265 113467518 126075020 170201277 189112530 226935036 283668795 340402554 378225060 567337590 680805108 851006385 1134675180 1702012770 3404025540