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3404301420 = 2235136171549
BaseRepresentation
bin1100101011101001…
…1000010001101100
322210020210102121210
43022322120101230
523433000121140
61321445554420
7150235041012
oct31272302154
98706712553
103404301420
111497704053
127b0115a10
134233a0950
142441aa8b2
1514dd06d80
hexcae9846c

3404301420 has 96 divisors (see below), whose sum is σ = 10433707200. Its totient is φ = 824232960.

The previous prime is 3404301401. The next prime is 3404301431. The reversal of 3404301420 is 241034043.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11806 + ... + 83354.

It is an arithmetic number, because the mean of its divisors is an integer number (108684450).

Almost surely, 23404301420 is an apocalyptic number.

3404301420 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 3404301420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5216853600).

3404301420 is an abundant number, since it is smaller than the sum of its proper divisors (7029405780).

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

3404301420 is a wasteful number, since it uses less digits than its factorization.

3404301420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71635 (or 71633 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 3404301420 is about 58346.3916622099. The cubic root of 3404301420 is about 1504.3284487844.

Adding to 3404301420 its reverse (241034043), we get a palindrome (3645335463).

The spelling of 3404301420 in words is "three billion, four hundred four million, three hundred one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 61 65 78 122 130 156 183 195 244 260 305 366 390 610 732 780 793 915 1220 1586 1830 2379 3172 3660 3965 4758 7930 9516 11895 15860 23790 47580 71549 143098 214647 286196 357745 429294 715490 858588 930137 1073235 1430980 1860274 2146470 2790411 3720548 4292940 4364489 4650685 5580822 8728978 9301370 11161644 13093467 13952055 17457956 18602740 21822445 26186934 27904110 43644890 52373868 55808220 56738357 65467335 87289780 113476714 130934670 170215071 226953428 261869340 283691785 340430142 567383570 680860284 851075355 1134767140 1702150710 3404301420