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343003406480 = 24572103849523
BaseRepresentation
bin1001111110111001001…
…10001010000010010000
31012210100111102102101122
410333130212022002100
521104432333001410
6421323521221412
733531641564300
oct4773446120220
91183314372348
10343003406480
11122515532059
1256587191868
13264641b9067
141285c561600
158dc7bade55
hex4fdc98a090

343003406480 has 120 divisors (see below), whose sum is σ = 936691958592. Its totient is φ = 116459271936.

The previous prime is 343003406441. The next prime is 343003406489. The reversal of 343003406480 is 84604300343.

It is a super-3 number, since 3×3430034064803 (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 343003406480.

It is not an unprimeable number, because it can be changed into a prime (343003406489) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21002 + ... + 828521.

Almost surely, 2343003406480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 343003406480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468345979296).

343003406480 is an abundant number, since it is smaller than the sum of its proper divisors (593688552112).

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

343003406480 is a wasteful number, since it uses less digits than its factorization.

343003406480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 849653 (or 849640 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 35.

The spelling of 343003406480 in words is "three hundred forty-three billion, three million, four hundred six thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 70 80 98 103 112 140 196 206 245 280 392 412 490 515 560 721 784 824 980 1030 1442 1648 1960 2060 2884 3605 3920 4120 5047 5768 7210 8240 10094 11536 14420 20188 25235 28840 40376 50470 57680 80752 100940 201880 403760 849523 1699046 3398092 4247615 5946661 6796184 8495230 11893322 13592368 16990460 23786644 29733305 33980920 41626627 47573288 59466610 67961840 83253254 87500869 95146576 118933220 166506508 175001738 208133135 237866440 333013016 350003476 416266270 437504345 475732880 612506083 666026032 700006952 832532540 875008690 1225012166 1400013904 1665065080 1750017380 2450024332 3062530415 3330130160 3500034760 4287542581 4900048664 6125060830 7000069520 8575085162 9800097328 12250121660 17150170324 21437712905 24500243320 34300340648 42875425810 49000486640 68600681296 85750851620 171501703240 343003406480