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3895304040 = 233353606763
BaseRepresentation
bin1110100000101101…
…1001111101101000
3101001110200221121000
43220023121331220
530434144212130
61442305515000
7165346352355
oct35013317550
911043627530
103895304040
111719885641
12908642a60
134a1025644
1428d49d62c
1517be94260
hexe82d9f68

3895304040 has 64 divisors (see below), whose sum is σ = 12984350400. Its totient is φ = 1038747456.

The previous prime is 3895304033. The next prime is 3895304051. The reversal of 3895304040 is 404035983.

3895304040 is a `hidden beast` number, since 3 + 89 + 530 + 4 + 0 + 40 = 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 = 3895303986 and 3895304004.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1802302 + ... + 1804461.

It is an arithmetic number, because the mean of its divisors is an integer number (202880475).

Almost surely, 23895304040 is an apocalyptic number.

3895304040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3895304040 is an abundant number, since it is smaller than the sum of its proper divisors (9089046360).

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

3895304040 is a wasteful number, since it uses less digits than its factorization.

3895304040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3606783 (or 3606773 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 3895304040 is about 62412.3708891114. The cubic root of 3895304040 is about 1573.4288913441.

The spelling of 3895304040 in words is "three billion, eight hundred ninety-five million, three hundred four thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 3606763 7213526 10820289 14427052 18033815 21640578 28854104 32460867 36067630 43281156 54101445 64921734 72135260 86562312 97382601 108202890 129843468 144270520 162304335 194765202 216405780 259686936 324608670 389530404 432811560 486913005 649217340 779060808 973826010 1298434680 1947652020 3895304040