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349804862160 = 243513112116943
BaseRepresentation
bin1010001011100011111…
…11101001101011010000
31020102220111120011120120
411011301333221223100
521212400021042120
6424410444110240
734162330161165
oct5056177515320
91212814504516
10349804862160
111253957a8406
1257964b35380
1326ca9327450
1412d0599806c
159174d5a140
hex5171fe9ad0

349804862160 has 80 divisors (see below), whose sum is σ = 1167810088704. Its totient is φ = 86105811456.

The previous prime is 349804862107. The next prime is 349804862191. The reversal of 349804862160 is 61268408943.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56055352 + ... + 56061591.

Almost surely, 2349804862160 is an apocalyptic number.

349804862160 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

349804862160 is an abundant number, since it is smaller than the sum of its proper divisors (818005226544).

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

349804862160 is a wasteful number, since it uses less digits than its factorization.

349804862160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112116972 (or 112116966 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 51.

The spelling of 349804862160 in words is "three hundred forty-nine billion, eight hundred four million, eight hundred sixty-two thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 3120 112116943 224233886 336350829 448467772 560584715 672701658 896935544 1121169430 1345403316 1457520259 1681754145 1793871088 2242338860 2690806632 2915040518 3363508290 4372560777 4484677720 5381613264 5830081036 6727016580 7287601295 8745121554 8969355440 11660162072 13454033160 14575202590 17490243108 21862803885 23320324144 26908066320 29150405180 34980486216 43725607770 58300810360 69960972432 87451215540 116601620720 174902431080 349804862160