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3035470640 = 245137419661
BaseRepresentation
bin1011010011101101…
…1001101100110000
321211112202212220112
42310323121230300
522204040030030
61221112400452
7135136034426
oct26473315460
97745685815
103035470640
111318498024
127086a6128
13394b53597
1420b1db116
1512b74da95
hexb4ed9b30

3035470640 has 80 divisors (see below), whose sum is σ = 7136730720. Its totient is φ = 1200629760.

The previous prime is 3035470631. The next prime is 3035470661. The reversal of 3035470640 is 460745303.

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

It is a junction number, because it is equal to n+sod(n) for n = 3035470597 and 3035470606.

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, 4591910 + ... + 4592570.

It is an arithmetic number, because the mean of its divisors is an integer number (89209134).

Almost surely, 23035470640 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 3035470640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3568365360).

3035470640 is an abundant number, since it is smaller than the sum of its proper divisors (4101260080).

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

3035470640 is a wasteful number, since it uses less digits than its factorization.

3035470640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1230 (or 1224 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 32.

The square root of 3035470640 is about 55095.1054087384. The cubic root of 3035470640 is about 1447.9114823335.

The spelling of 3035470640 in words is "three billion, thirty-five million, four hundred seventy thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 137 274 419 548 661 685 838 1096 1322 1370 1676 2095 2192 2644 2740 3305 3352 4190 5288 5480 6610 6704 8380 10576 10960 13220 16760 26440 33520 52880 57403 90557 114806 181114 229612 276959 287015 362228 452785 459224 553918 574030 724456 905570 918448 1107836 1148060 1384795 1448912 1811140 2215672 2296120 2769590 3622280 4431344 4592240 5539180 7244560 11078360 22156720 37943383 75886766 151773532 189716915 303547064 379433830 607094128 758867660 1517735320 3035470640