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3404331060 = 22351313133317
BaseRepresentation
bin1100101011101001…
…1111100000110100
322210020211221021120
43022322133200310
523433002043220
61321450343540
7150235223304
oct31272374064
98706757246
103404331060
111497724349
127b012abb0
134233b12a0
142441b7604
1514dd10a40
hexcae9f834

3404331060 has 96 divisors (see below), whose sum is σ = 10344039552. Its totient is φ = 831567360.

The previous prime is 3404331059. The next prime is 3404331097. The reversal of 3404331060 is 601334043.

It is a self number, because there is not a number n which added to its sum of digits gives 3404331060.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 85522 + ... + 118838.

It is an arithmetic number, because the mean of its divisors is an integer number (107750412).

Almost surely, 23404331060 is an apocalyptic number.

3404331060 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 3404331060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5172019776).

3404331060 is an abundant number, since it is smaller than the sum of its proper divisors (6939708492).

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

3404331060 is a wasteful number, since it uses less digits than its factorization.

3404331060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33473 (or 33471 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 3404331060 is about 58346.6456619402. The cubic root of 3404331060 is about 1504.3328146498.

The spelling of 3404331060 in words is "three billion, four hundred four million, three hundred thirty-one thousand, sixty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 131 156 195 260 262 390 393 524 655 780 786 1310 1572 1703 1965 2620 3406 3930 5109 6812 7860 8515 10218 17030 20436 25545 33317 34060 51090 66634 99951 102180 133268 166585 199902 333170 399804 433121 499755 666340 866242 999510 1299363 1732484 1999020 2165605 2598726 4331210 4364527 5197452 6496815 8662420 8729054 12993630 13093581 17458108 21822635 25987260 26187162 43645270 52374324 56738851 65467905 87290540 113477702 130935810 170216553 226955404 261871620 283694255 340433106 567388510 680866212 851082765 1134777020 1702165530 3404331060