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3408530320 = 245136415113
BaseRepresentation
bin1100101100101010…
…0000101110010000
322210112202021120201
43023022200232100
523440040432240
61322120344544
7150316013116
oct31312405620
98715667521
103408530320
11149a032308
127b1615154
13424221760
1424498bab6
1514e38ed9a
hexcb2a0b90

3408530320 has 80 divisors (see below), whose sum is σ = 8549421552. Its totient is φ = 1256325120.

The previous prime is 3408530291. The next prime is 3408530357. The reversal of 3408530320 is 230358043.

It can be written as a sum of positive squares in 8 ways, for example, as 458302464 + 2950227856 = 21408^2 + 54316^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 664084 + ... + 669196.

Almost surely, 23408530320 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 3408530320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4274710776).

3408530320 is an abundant number, since it is smaller than the sum of its proper divisors (5140891232).

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

3408530320 is a wasteful number, since it uses less digits than its factorization.

3408530320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5780 (or 5774 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The square root of 3408530320 is about 58382.6200165769. The cubic root of 3408530320 is about 1504.9510946092.

Adding to 3408530320 its reverse (230358043), we get a palindrome (3638888363).

The spelling of 3408530320 in words is "three billion, four hundred eight million, five hundred thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 641 1040 1282 2564 3205 5113 5128 6410 8333 10226 10256 12820 16666 20452 25565 25640 33332 40904 41665 51130 51280 66469 66664 81808 83330 102260 132938 133328 166660 204520 265876 332345 333320 409040 531752 664690 666640 1063504 1329380 2658760 3277433 5317520 6554866 13109732 16387165 26219464 32774330 42606629 52438928 65548660 85213258 131097320 170426516 213033145 262194640 340853032 426066290 681706064 852132580 1704265160 3408530320