Search a number
-
+
343440042000 = 24353115203637
BaseRepresentation
bin1001111111101101001…
…11110010100000010000
31012211110221000210201120
410333312213302200100
521111331122321000
6421435120002240
733545523122166
oct4776647624020
91184427023646
10343440042000
11122719a4a860
1256689460380
13265037b6983
14128a0541236
158e011ac6a0
hex4ff69f2810

343440042000 has 160 divisors (see below), whose sum is σ = 1207910081664. Its totient is φ = 83258176000.

The previous prime is 343440041983. The next prime is 343440042037. The reversal of 343440042000 is 240044343.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 2535819 + ... + 2667818.

Almost surely, 2343440042000 is an apocalyptic number.

343440042000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

343440042000 is an abundant number, since it is smaller than the sum of its proper divisors (864470039664).

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

343440042000 is a wasteful number, since it uses less digits than its factorization.

343440042000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5203674 (or 5203658 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 343440042000 its reverse (240044343), we get a palindrome (343680086343).

The spelling of 343440042000 in words is "three hundred forty-three billion, four hundred forty million, forty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 33 40 44 48 50 55 60 66 75 80 88 100 110 120 125 132 150 165 176 200 220 240 250 264 275 300 330 375 400 440 500 528 550 600 660 750 825 880 1000 1100 1200 1320 1375 1500 1650 2000 2200 2640 2750 3000 3300 4125 4400 5500 6000 6600 8250 11000 13200 16500 22000 33000 66000 5203637 10407274 15610911 20814548 26018185 31221822 41629096 52036370 57240007 62443644 78054555 83258192 104072740 114480014 124887288 130090925 156109110 171720021 208145480 228960028 249774576 260181850 286200035 312218220 343440042 390272775 416290960 457920056 520363700 572400070 624436440 650454625 686880084 780545550 858600105 915840112 1040727400 1144800140 1248872880 1300909250 1373760168 1431000175 1561091100 1717200210 1951363875 2081454800 2289600280 2601818500 2747520336 2862000350 3122182200 3434400420 3902727750 4293000525 4579200560 5203637000 5724000700 6244364400 6868800840 7155000875 7805455500 8586001050 10407274000 11448001400 13737601680 14310001750 15610911000 17172002100 21465002625 22896002800 28620003500 31221822000 34344004200 42930005250 57240007000 68688008400 85860010500 114480014000 171720021000 343440042000