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340086480 = 243529131373
BaseRepresentation
bin10100010001010…
…100111011010000
3212200221011221120
4110101110323100
51144030231410
653425122240
711266454526
oct2421247320
9780834846
10340086480
11164a74008
1295a89380
13555c4b06
143324a316
151eccb570
hex14454ed0

340086480 has 160 divisors (see below), whose sum is σ = 1101893760. Its totient is φ = 86661120.

The previous prime is 340086469. The next prime is 340086497. The reversal of 340086480 is 84680043.

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, 911574 + ... + 911946.

It is an arithmetic number, because the mean of its divisors is an integer number (6886836).

Almost surely, 2340086480 is an apocalyptic number.

340086480 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 340086480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550946880).

340086480 is an abundant number, since it is smaller than the sum of its proper divisors (761807280).

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

340086480 is a wasteful number, since it uses less digits than its factorization.

340086480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 549 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 340086480 is about 18441.4337837382. The cubic root of 340086480 is about 698.0123751579.

The spelling of 340086480 in words is "three hundred forty million, eighty-six thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 40 48 58 60 80 87 116 120 131 145 174 232 240 262 290 348 373 393 435 464 524 580 655 696 746 786 870 1048 1119 1160 1310 1392 1492 1572 1740 1865 1965 2096 2238 2320 2620 2984 3144 3480 3730 3799 3930 4476 5240 5595 5968 6288 6960 7460 7598 7860 8952 10480 10817 11190 11397 14920 15196 15720 17904 18995 21634 22380 22794 29840 30392 31440 32451 37990 43268 44760 45588 48863 54085 56985 60784 64902 75980 86536 89520 91176 97726 108170 113970 129804 146589 151960 162255 173072 182352 195452 216340 227940 244315 259608 293178 303920 324510 390904 432680 455880 488630 519216 586356 649020 732945 781808 865360 911760 977260 1172712 1298040 1417027 1465890 1954520 2345424 2596080 2834054 2931780 3909040 4251081 5668108 5863560 7085135 8502162 11336216 11727120 14170270 17004324 21255405 22672432 28340540 34008648 42510810 56681080 68017296 85021620 113362160 170043240 340086480