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34605540312 = 23373110165789
BaseRepresentation
bin100000001110101001…
…101010001111011000
310022022201102120222020
4200032221222033120
51031333004242222
623521512454440
72333362145040
oct401651521730
9108281376866
1034605540312
1113748a1a6a2
1268593aa420
1333565a2095
141963d88720
15d7811365c
hex80ea6a3d8

34605540312 has 128 divisors (see below), whose sum is σ = 103074508800. Its totient is φ = 9473472000.

The previous prime is 34605540283. The next prime is 34605540337. The reversal of 34605540312 is 21304550643.

It is a congruent number.

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, 493114 + ... + 558902.

It is an arithmetic number, because the mean of its divisors is an integer number (805269600).

Almost surely, 234605540312 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 34605540312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51537254400).

34605540312 is an abundant number, since it is smaller than the sum of its proper divisors (68468968488).

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

34605540312 is a wasteful number, since it uses less digits than its factorization.

34605540312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65937 (or 65933 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 33.

The spelling of 34605540312 in words is "thirty-four billion, six hundred five million, five hundred forty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 42 56 62 84 93 101 124 168 186 202 217 248 303 372 404 434 606 651 707 744 808 868 1212 1302 1414 1736 2121 2424 2604 2828 3131 4242 5208 5656 6262 8484 9393 12524 16968 18786 21917 25048 37572 43834 65751 65789 75144 87668 131502 131578 175336 197367 263004 263156 394734 460523 526008 526312 789468 921046 1381569 1578936 1842092 2039459 2763138 3684184 4078918 5526276 6118377 6644689 8157836 11052552 12236754 13289378 14276213 16315672 19934067 24473508 26578756 28552426 39868134 42828639 46512823 48947016 53157512 57104852 79736268 85657278 93025646 114209704 139538469 159472536 171314556 186051292 205985359 279076938 342629112 372102584 411970718 558153876 617956077 823941436 1116307752 1235912154 1441897513 1647882872 2471824308 2883795026 4325692539 4943648616 5767590052 8651385078 11535180104 17302770156 34605540312