Search a number
-
+
3413310000 = 24354113777
BaseRepresentation
bin1100101101110010…
…1111101000110000
322210212202010001220
43023130233220300
523442301410000
61322411025040
7150404441052
oct31334575060
98725663056
103413310000
1114a17a7361
127b313b180
13425206179
142454738d2
1514e9d61a0
hexcb72fa30

3413310000 has 100 divisors (see below), whose sum is σ = 11018716632. Its totient is φ = 910208000.

The previous prime is 3413309987. The next prime is 3413310041. The reversal of 3413310000 is 133143.

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×34133100002 = 23301370312200000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

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 19 ways as a sum of consecutive naturals, for example, 26889 + ... + 86888.

Almost surely, 23413310000 is an apocalyptic number.

3413310000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3413310000 is an abundant number, since it is smaller than the sum of its proper divisors (7605406632).

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

3413310000 is a wasteful number, since it uses less digits than its factorization.

3413310000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113808 (or 113787 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 3413310000 is about 58423.5397763607. The cubic root of 3413310000 is about 1505.6542153413.

Adding to 3413310000 its reverse (133143), we get a palindrome (3413443143).

The spelling of 3413310000 in words is "three billion, four hundred thirteen million, three hundred ten thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 625 750 1000 1200 1250 1500 1875 2000 2500 3000 3750 5000 6000 7500 10000 15000 30000 113777 227554 341331 455108 568885 682662 910216 1137770 1365324 1706655 1820432 2275540 2730648 2844425 3413310 4551080 5461296 5688850 6826620 8533275 9102160 11377700 13653240 14222125 17066550 22755400 27306480 28444250 34133100 42666375 45510800 56888500 68266200 71110625 85332750 113777000 136532400 142221250 170665500 213331875 227554000 284442500 341331000 426663750 568885000 682662000 853327500 1137770000 1706655000 3413310000