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3804155640 = 2332519953101
BaseRepresentation
bin1110001010111110…
…1100111011111000
3100211010012010111100
43202233230323320
530242330440030
61425252131400
7163161534525
oct34257547370
910733163440
103804155640
11168238a48a
128a2006b60
13488190a8c
1428133414c
15173e8c360
hexe2becef8

3804155640 has 96 divisors (see below), whose sum is σ = 12425868000. Its totient is φ = 1009324800.

The previous prime is 3804155573. The next prime is 3804155653. The reversal of 3804155640 is 465514083.

It is a happy number.

3804155640 is a `hidden beast` number, since 3 + 8 + 0 + 4 + 1 + 5 + 5 + 640 = 666.

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 = 3804155595 and 3804155604.

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, 45090 + ... + 98190.

It is an arithmetic number, because the mean of its divisors is an integer number (129436125).

Almost surely, 23804155640 is an apocalyptic number.

3804155640 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 3804155640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6212934000).

3804155640 is an abundant number, since it is smaller than the sum of its proper divisors (8621712360).

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

3804155640 is a wasteful number, since it uses less digits than its factorization.

3804155640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53317 (or 53310 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 3804155640 is about 61677.8375107299. The cubic root of 3804155640 is about 1561.0593888922.

The spelling of 3804155640 in words is "three billion, eight hundred four million, one hundred fifty-five thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 199 360 398 597 796 995 1194 1592 1791 1990 2388 2985 3582 3980 4776 5970 7164 7960 8955 11940 14328 17910 23880 35820 53101 71640 106202 159303 212404 265505 318606 424808 477909 531010 637212 796515 955818 1062020 1274424 1593030 1911636 2124040 2389545 3186060 3823272 4779090 6372120 9558180 10567099 19116360 21134198 31701297 42268396 52835495 63402594 84536792 95103891 105670990 126805188 158506485 190207782 211341980 253610376 317012970 380415564 422683960 475519455 634025940 760831128 951038910 1268051880 1902077820 3804155640