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335106420 = 2235111926723
BaseRepresentation
bin10011111110010…
…101000101110100
3212100120011120220
4103332111011310
51141241401140
653130254340
711206233435
oct2376250564
9770504526
10335106420
11162182460
12942873b0
135457012c
143271148c
151e645bd0
hex13f95174

335106420 has 96 divisors (see below), whose sum is σ = 1077511680. Its totient is φ = 76959360.

The previous prime is 335106419. The next prime is 335106461. The reversal of 335106420 is 24601533.

It is a happy number.

335106420 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3351064202 = 224592625450432800, which contains 22 as substring.

It is a congruent number.

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, 822 + ... + 25901.

It is an arithmetic number, because the mean of its divisors is an integer number (11224080).

Almost surely, 2335106420 is an apocalyptic number.

335106420 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 335106420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538755840).

335106420 is an abundant number, since it is smaller than the sum of its proper divisors (742405260).

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

335106420 is a wasteful number, since it uses less digits than its factorization.

335106420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26765 (or 26763 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 335106420 is about 18305.9121597368. The cubic root of 335106420 is about 694.5884905859.

Adding to 335106420 its reverse (24601533), we get a palindrome (359707953).

The spelling of 335106420 in words is "three hundred thirty-five million, one hundred six thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 19 20 22 30 33 38 44 55 57 60 66 76 95 110 114 132 165 190 209 220 228 285 330 380 418 570 627 660 836 1045 1140 1254 2090 2508 3135 4180 6270 12540 26723 53446 80169 106892 133615 160338 267230 293953 320676 400845 507737 534460 587906 801690 881859 1015474 1175812 1469765 1523211 1603380 1763718 2030948 2538685 2939530 3046422 3527436 4409295 5077370 5585107 5879060 6092844 7616055 8818590 10154740 11170214 15232110 16755321 17637180 22340428 27925535 30464220 33510642 55851070 67021284 83776605 111702140 167553210 335106420