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3335440000 = 2754173241
BaseRepresentation
bin1100011011001110…
…1100011010000000
322121110012220111211
43012303230122000
523312333040000
61310550015504
7145440525604
oct30663543200
98543186454
103335440000
111461850492
12791047594
13412040449
14238da3504
15147c537ba
hexc6cec680

3335440000 has 160 divisors (see below), whose sum is σ = 8386018740. Its totient is φ = 1320960000.

The previous prime is 3335439977. The next prime is 3335440021. The reversal of 3335440000 is 445333.

It can be written as a sum of positive squares in 10 ways, for example, as 25969216 + 3309470784 = 5096^2 + 57528^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×33354400002 = 22250319987200000000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 13839880 + ... + 13840120.

Almost surely, 23335440000 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 3335440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4193009370).

3335440000 is an abundant number, since it is smaller than the sum of its proper divisors (5050578740).

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

3335440000 is an equidigital number, since it uses as much as digits as its factorization.

3335440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 22.

The square root of 3335440000 is about 57753.2683057851. The cubic root of 3335440000 is about 1494.1162101134.

Adding to 3335440000 its reverse (445333), we get a palindrome (3335885333).

The spelling of 3335440000 in words is "three billion, three hundred thirty-five million, four hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 173 200 241 250 320 346 400 482 500 625 640 692 800 865 964 1000 1205 1250 1384 1600 1730 1928 2000 2410 2500 2768 3200 3460 3856 4000 4325 4820 5000 5536 6025 6920 7712 8000 8650 9640 10000 11072 12050 13840 15424 16000 17300 19280 20000 21625 22144 24100 27680 30125 30848 34600 38560 40000 41693 43250 48200 55360 60250 69200 77120 80000 83386 86500 96400 108125 110720 120500 138400 150625 154240 166772 173000 192800 208465 216250 241000 276800 301250 333544 346000 385600 416930 432500 482000 553600 602500 667088 692000 771200 833860 865000 964000 1042325 1205000 1334176 1384000 1667720 1730000 1928000 2084650 2410000 2668352 2768000 3335440 3460000 3856000 4169300 4820000 5211625 5336704 6670880 6920000 8338600 9640000 10423250 13341760 13840000 16677200 19280000 20846500 26058125 26683520 33354400 41693000 52116250 66708800 83386000 104232500 133417600 166772000 208465000 333544000 416930000 667088000 833860000 1667720000 3335440000