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3084645720 = 2335134742071
BaseRepresentation
bin1011011111011011…
…1111010101011000
321221222022020102210
42313312333111120
522304132130340
61230030355120
7136304025132
oct26766772530
97858266383
103084645720
111343224a92
1272105baa0
133a20b0370
1421395c052
15130c14180
hexb7dbf558

3084645720 has 128 divisors (see below), whose sum is σ = 10178058240. Its totient is φ = 743124480.

The previous prime is 3084645709. The next prime is 3084645727. The reversal of 3084645720 is 275464803.

It is a happy number.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3084645727) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52285 + ... + 94355.

It is an arithmetic number, because the mean of its divisors is an integer number (79516080).

Almost surely, 23084645720 is an apocalyptic number.

3084645720 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 3084645720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5089029120).

3084645720 is an abundant number, since it is smaller than the sum of its proper divisors (7093412520).

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

3084645720 is a wasteful number, since it uses less digits than its factorization.

3084645720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42145 (or 42141 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

The square root of 3084645720 is about 55539.5869628142. The cubic root of 3084645720 is about 1455.6884308465.

The spelling of 3084645720 in words is "three billion, eighty-four million, six hundred forty-five thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 47 52 60 65 78 94 104 120 130 141 156 188 195 235 260 282 312 376 390 470 520 564 611 705 780 940 1128 1222 1410 1560 1833 1880 2444 2820 3055 3666 4888 5640 6110 7332 9165 12220 14664 18330 24440 36660 42071 73320 84142 126213 168284 210355 252426 336568 420710 504852 546923 631065 841420 1009704 1093846 1262130 1640769 1682840 1977337 2187692 2524260 2734615 3281538 3954674 4375384 5048520 5469230 5932011 6563076 7909348 8203845 9886685 10938460 11864022 13126152 15818696 16407690 19773370 21876920 23728044 25705381 29660055 32815380 39546740 47456088 51410762 59320110 65630760 77116143 79093480 102821524 118640220 128526905 154232286 205643048 237280440 257053810 308464572 385580715 514107620 616929144 771161430 1028215240 1542322860 3084645720