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3401040420 = 2233523327031
BaseRepresentation
bin1100101010110111…
…1100001000100100
322210000122202101000
43022231330020210
523431131243140
61321252033300
7150165236511
oct31255741044
98700582330
103401040420
111495887008
127ab002830
134227cb56b
1424399c308
1514d8b0a30
hexcab7c224

3401040420 has 96 divisors (see below), whose sum is σ = 10626819840. Its totient is φ = 903018240.

The previous prime is 3401040397. The next prime is 3401040431. The reversal of 3401040420 is 240401043.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3401040393 and 3401040402.

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, 112305 + ... + 139335.

It is an arithmetic number, because the mean of its divisors is an integer number (110696040).

Almost surely, 23401040420 is an apocalyptic number.

3401040420 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 3401040420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5313409920).

3401040420 is an abundant number, since it is smaller than the sum of its proper divisors (7225779420).

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

3401040420 is a wasteful number, since it uses less digits than its factorization.

3401040420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27282 (or 27274 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 3401040420 is about 58318.4397939451. The cubic root of 3401040420 is about 1503.8479603598.

Adding to 3401040420 its reverse (240401043), we get a palindrome (3641441463).

The spelling of 3401040420 in words is "three billion, four hundred one million, forty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 233 270 466 540 699 932 1165 1398 2097 2330 2796 3495 4194 4660 6291 6990 8388 10485 12582 13980 20970 25164 27031 31455 41940 54062 62910 81093 108124 125820 135155 162186 243279 270310 324372 405465 486558 540620 729837 810930 973116 1216395 1459674 1621860 2432790 2919348 3649185 4865580 6298223 7298370 12596446 14596740 18894669 25192892 31491115 37789338 56684007 62982230 75578676 94473345 113368014 125964460 170052021 188946690 226736028 283420035 340104042 377893380 566840070 680208084 850260105 1133680140 1700520210 3401040420