Search a number
-
+
3413310240 = 253553134171
BaseRepresentation
bin1100101101110010…
…1111101100100000
322210212202010101210
43023130233230200
523442301411430
61322411030120
7150404441544
oct31334575440
98725663353
103413310240
1114a17a755a
127b313b340
13425206302
14245473a24
1514e9d62b0
hexcb72fb20

3413310240 has 96 divisors (see below), whose sum is σ = 10954875456. Its totient is φ = 893035520.

The previous prime is 3413310181. The next prime is 3413310247. The reversal of 3413310240 is 420133143.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (3413310247) by changing a digit.

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, 41646 + ... + 92525.

It is an arithmetic number, because the mean of its divisors is an integer number (114113286).

Almost surely, 23413310240 is an apocalyptic number.

3413310240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3413310240 is an abundant number, since it is smaller than the sum of its proper divisors (7541565216).

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

3413310240 is a wasteful number, since it uses less digits than its factorization.

3413310240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134242 (or 134234 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 3413310240 is about 58423.5418303273. The cubic root of 3413310240 is about 1505.6542506303.

Adding to 3413310240 its reverse (420133143), we get a palindrome (3833443383).

The spelling of 3413310240 in words is "three billion, four hundred thirteen million, three hundred ten thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 53 60 80 96 106 120 159 160 212 240 265 318 424 480 530 636 795 848 1060 1272 1590 1696 2120 2544 3180 4240 5088 6360 8480 12720 25440 134171 268342 402513 536684 670855 805026 1073368 1341710 1610052 2012565 2146736 2683420 3220104 4025130 4293472 5366840 6440208 7111063 8050260 10733680 12880416 14222126 16100520 21333189 21467360 28444252 32201040 35555315 42666378 56888504 64402080 71110630 85332756 106665945 113777008 142221260 170665512 213331890 227554016 284442520 341331024 426663780 568885040 682662048 853327560 1137770080 1706655120 3413310240