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3411111420 = 2233519332467
BaseRepresentation
bin1100101101010001…
…0110110111111100
322210201121102012000
43023110112313330
523441221031140
61322251542300
7150346653153
oct31324266774
98721542160
103411111420
1114a0535552
127b245a990
13424916532
1424506059a
1514e6eea30
hexcb516dfc

3411111420 has 96 divisors (see below), whose sum is σ = 11170924800. Its totient is φ = 861751872.

The previous prime is 3411111419. The next prime is 3411111449. The reversal of 3411111420 is 241111143.

It is a super-2 number, since 2×34111114202 = 23271362239308832800, which contains 22 as substring.

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 = 3411111393 and 3411111402.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 155974 + ... + 176493.

It is an arithmetic number, because the mean of its divisors is an integer number (116363800).

Almost surely, 23411111420 is an apocalyptic number.

3411111420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3411111420 is an abundant number, since it is smaller than the sum of its proper divisors (7759813380).

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

3411111420 is a wasteful number, since it uses less digits than its factorization.

3411111420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332504 (or 332496 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 3411111420 is about 58404.7208708337. The cubic root of 3411111420 is about 1505.3308720916.

Adding to 3411111420 its reverse (241111143), we get a palindrome (3652222563).

The spelling of 3411111420 in words is "three billion, four hundred eleven million, one hundred eleven thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 27 30 36 38 45 54 57 60 76 90 95 108 114 135 171 180 190 228 270 285 342 380 513 540 570 684 855 1026 1140 1710 2052 2565 3420 5130 10260 332467 664934 997401 1329868 1662335 1994802 2992203 3324670 3989604 4987005 5984406 6316873 6649340 8976609 9974010 11968812 12633746 14961015 17953218 18950619 19948020 25267492 29922030 31584365 35906436 37901238 44883045 56851857 59844060 63168730 75802476 89766090 94753095 113703714 126337460 170555571 179532180 189506190 227407428 284259285 341111142 379012380 568518570 682222284 852777855 1137037140 1705555710 3411111420