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343004342120 = 235115323363127
BaseRepresentation
bin1001111110111001010…
…01101110011101101000
31012210100120011221211222
410333130221232131220
521104433102421440
6421323553241212
733531652542146
oct4773451563550
91183316157758
10343004342120
11122516011010
1256587563208
1326464455bab
141285c726596
158dc7ce62b5
hex4fdca6e768

343004342120 has 128 divisors (see below), whose sum is σ = 861500240640. Its totient is φ = 121848330240.

The previous prime is 343004342117. The next prime is 343004342123. The reversal of 343004342120 is 21243400343.

It is an interprime number because it is at equal distance from previous prime (343004342117) and next prime (343004342123).

It is a self number, because there is not a number n which added to its sum of digits gives 343004342120.

It is not an unprimeable number, because it can be changed into a prime (343004342123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5401997 + ... + 5465123.

It is an arithmetic number, because the mean of its divisors is an integer number (6730470630).

Almost surely, 2343004342120 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 343004342120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430750120320).

343004342120 is an abundant number, since it is smaller than the sum of its proper divisors (518495898520).

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

343004342120 is a wasteful number, since it uses less digits than its factorization.

343004342120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63435 (or 63431 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

Adding to 343004342120 its reverse (21243400343), we get a palindrome (364247742463).

The spelling of 343004342120 in words is "three hundred forty-three billion, four million, three hundred forty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 53 55 88 106 110 212 220 233 265 424 440 466 530 583 932 1060 1165 1166 1864 2120 2330 2332 2563 2915 4660 4664 5126 5830 9320 10252 11660 12349 12815 20504 23320 24698 25630 49396 51260 61745 63127 98792 102520 123490 126254 135839 246980 252508 271678 315635 493960 505016 543356 631270 679195 694397 1086712 1262540 1358390 1388794 2525080 2716780 2777588 3345731 3471985 5433560 5555176 6691462 6943970 13382924 13887940 14708591 16728655 26765848 27775880 29417182 33457310 36803041 58834364 66914620 73542955 73606082 117668728 133829240 147085910 147212164 161794501 184015205 294171820 294424328 323589002 368030410 588343640 647178004 736060820 779555323 808972505 1294356008 1472121640 1559110646 1617945010 3118221292 3235890020 3897776615 6236442584 6471780040 7795553230 8575108553 15591106460 17150217106 31182212920 34300434212 42875542765 68600868424 85751085530 171502171060 343004342120