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643842342 = 2321113271271
BaseRepresentation
bin100110011000000…
…100000100100110
31122212111120122200
4212120010010212
52304310423332
6143515435330
721645366243
oct4630040446
91585446580
10643842342
11300483310
1215b755b46
13a3509300
146171a5ca
153b7cd17c
hex26604126

643842342 has 144 divisors (see below), whose sum is σ = 1677252096. Its totient is φ = 176904000.

The previous prime is 643842319. The next prime is 643842361. The reversal of 643842342 is 243248346.

643842342 is a `hidden beast` number, since 643 + 8 + 4 + 2 + 3 + 4 + 2 = 666.

It is a super-3 number, since 3×6438423423 (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 643842297 and 643842306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2375667 + ... + 2375937.

It is an arithmetic number, because the mean of its divisors is an integer number (11647584).

Almost surely, 2643842342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 643842342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (838626048).

643842342 is an abundant number, since it is smaller than the sum of its proper divisors (1033409754).

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

643842342 is a wasteful number, since it uses less digits than its factorization.

643842342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 371 counting only the distinct ones).

The product of its digits is 110592, while the sum is 36.

The square root of 643842342 is about 25374.0485930015. The cubic root of 643842342 is about 863.4950351133.

The spelling of 643842342 in words is "six hundred forty-three million, eight hundred forty-two thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 11 13 18 22 26 33 39 66 71 78 99 117 142 143 169 198 213 234 271 286 338 426 429 507 542 639 781 813 858 923 1014 1278 1287 1521 1562 1626 1846 1859 2343 2439 2574 2769 2981 3042 3523 3718 4686 4878 5538 5577 5962 7029 7046 8307 8943 10153 10569 11154 11999 14058 16614 16731 17886 19241 20306 21138 23998 26829 30459 31707 33462 35997 38482 38753 45799 53658 57723 60918 63414 71994 77506 91377 91598 107991 115446 116259 131989 137397 173169 182754 211651 215982 232518 250133 263978 274794 346338 348777 395967 412191 423302 500266 503789 634953 697554 750399 791934 824382 1007578 1187901 1269906 1500798 1511367 1904859 2251197 2375802 2751463 3022734 3251729 3809718 4502394 4534101 5502926 6503458 8254389 9068202 9755187 16508778 19510374 24763167 29265561 35769019 49526334 58531122 71538038 107307057 214614114 321921171 643842342