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3343443642 = 2347111914107
BaseRepresentation
bin1100011101001000…
…1110011010111010
322122000021112110000
43013102032122322
523321410144032
61311433333430
7145565542050
oct30722163272
98560245400
103343443642
111466317770
12793867276
134138b3426
1423a0881d0
151487d4e7c
hexc748e6ba

3343443642 has 160 divisors (see below), whose sum is σ = 9832711680. Its totient is φ = 822661920.

The previous prime is 3343443641. The next prime is 3343443667. The reversal of 3343443642 is 2463443433.

3343443642 is a `hidden beast` number, since 3 + 3 + 4 + 3 + 4 + 4 + 3 + 642 = 666.

It is a super-2 number, since 2×33434436422 = 22357230774460448328, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3343443597 and 3343443606.

It is not an unprimeable number, because it can be changed into a prime (3343443641) 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 79 ways as a sum of consecutive naturals, for example, 229953 + ... + 244059.

It is an arithmetic number, because the mean of its divisors is an integer number (61454448).

Almost surely, 23343443642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3343443642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4916355840).

3343443642 is an abundant number, since it is smaller than the sum of its proper divisors (6489268038).

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

3343443642 is a wasteful number, since it uses less digits than its factorization.

3343443642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14158 (or 14149 counting only the distinct ones).

The product of its digits is 248832, while the sum is 36.

The square root of 3343443642 is about 57822.5184681539. The cubic root of 3343443642 is about 1495.3103373226.

It can be divided in two parts, 3343 and 443642, that added together give a triangular number (446985 = T945).

The spelling of 3343443642 in words is "three billion, three hundred forty-three million, four hundred forty-three thousand, six hundred forty-two".

Divisors: 1 2 3 6 7 9 11 14 18 19 21 22 27 33 38 42 54 57 63 66 77 81 99 114 126 133 154 162 171 189 198 209 231 266 297 342 378 399 418 462 513 567 594 627 693 798 891 1026 1134 1197 1254 1386 1463 1539 1782 1881 2079 2394 2926 3078 3591 3762 4158 4389 5643 6237 7182 8778 10773 11286 12474 13167 14107 16929 21546 26334 28214 33858 39501 42321 79002 84642 98749 118503 126963 155177 197498 237006 253926 268033 296247 310354 380889 465531 536066 592494 761778 804099 888741 931062 1086239 1142667 1396593 1608198 1777482 1876231 2172478 2285334 2412297 2666223 2793186 2948363 3258717 3752462 4189779 4824594 5332446 5628693 5896726 6517434 7236891 7998669 8379558 8845089 9776151 11257386 12569337 14473782 15997338 16886079 17690178 19552302 20638541 21710673 25138674 26535267 29328453 33772158 41277082 43421346 50658237 53070534 58656906 61915623 79605801 87985359 101316474 123831246 151974711 159211602 175970718 185746869 238817403 303949422 371493738 477634806 557240607 1114481214 1671721821 3343443642