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341214400100 = 2252717231246673
BaseRepresentation
bin1001111011100011111…
…01101000111001100100
31012121201211002111000002
410331301331220321210
521042301341300400
6420430212440432
733436416355250
oct4756175507144
91177654074002
10341214400100
111217876a7092
1256168019118
132623a677bc2
141272cb0b260
158d20ac7ed5
hex4f71f68e64

341214400100 has 144 divisors (see below), whose sum is σ = 934945659648. Its totient is φ = 105318850560.

The previous prime is 341214400069. The next prime is 341214400139. The reversal of 341214400100 is 1004412143.

It is a super-3 number, since 3×3412144001003 (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 349637 + ... + 897036.

It is an arithmetic number, because the mean of its divisors is an integer number (6492678192).

Almost surely, 2341214400100 is an apocalyptic number.

It is an amenable number.

341214400100 is an abundant number, since it is smaller than the sum of its proper divisors (593731259548).

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

341214400100 is a wasteful number, since it uses less digits than its factorization.

341214400100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1246734 (or 1246727 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 341214400100 its reverse (1004412143), we get a palindrome (342218812243).

The spelling of 341214400100 in words is "three hundred forty-one billion, two hundred fourteen million, four hundred thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 17 20 23 25 28 34 35 46 50 68 70 85 92 100 115 119 140 161 170 175 230 238 322 340 350 391 425 460 476 575 595 644 700 782 805 850 1150 1190 1564 1610 1700 1955 2300 2380 2737 2975 3220 3910 4025 5474 5950 7820 8050 9775 10948 11900 13685 16100 19550 27370 39100 54740 68425 136850 273700 1246673 2493346 4986692 6233365 8726711 12466730 17453422 21193441 24933460 28673479 31166825 34906844 42386882 43633555 57346958 62333650 84773764 87267110 105967205 114693916 124667300 143367395 148354087 174534220 200714353 211934410 218167775 286734790 296708174 401428706 423868820 436335550 487449143 529836025 573469580 593416348 716836975 741770435 802857412 872671100 974898286 1003571765 1059672050 1433673950 1483540870 1949796572 2007143530 2119344100 2437245715 2867347900 2967081740 3412144001 3708852175 4014287060 4874491430 5017858825 6824288002 7417704350 9748982860 10035717650 12186228575 13648576004 14835408700 17060720005 20071435300 24372457150 34121440010 48744914300 68242880020 85303600025 170607200050 341214400100