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34067340067340 = 225231374631167559
BaseRepresentation
bin1111011111011111010111…
…01101000000001000001100
311110121210202111121022122102
413233233223231000020030
513431124403024123330
6200242153040334232
710114166305464266
oct757575355001014
9143553674538572
1034067340067340
11a944972374a38
1239a258b314378
1316016c8586c78
1485ac21d3cb36
153e1282ac6945
hex1efbebb4020c

34067340067340 has 96 divisors (see below), whose sum is σ = 75359291535360. Its totient is φ = 12911360749056.

The previous prime is 34067340067337. The next prime is 34067340067379. The reversal of 34067340067340 is 4376004376043.

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, 28594481 + ... + 29762039.

It is an arithmetic number, because the mean of its divisors is an integer number (784992620160).

Almost surely, 234067340067340 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 34067340067340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37679645767680).

34067340067340 is an abundant number, since it is smaller than the sum of its proper divisors (41291951468020).

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

34067340067340 is a wasteful number, since it uses less digits than its factorization.

34067340067340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1168191 (or 1168189 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 47.

The spelling of 34067340067340 in words is "thirty-four trillion, sixty-seven billion, three hundred forty million, sixty-seven thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 23 46 92 115 137 230 274 460 463 548 685 926 1370 1852 2315 2740 3151 4630 6302 9260 10649 12604 15755 21298 31510 42596 53245 63020 63431 106490 126862 212980 253724 317155 634310 1167559 1268620 1458913 2335118 2917826 4670236 5835652 5837795 7294565 11675590 14589130 23351180 26853857 29178260 53707714 107415428 134269285 159955583 268538570 319911166 537077140 540579817 639822332 799777915 1081159634 1599555830 2162319268 2702899085 3199111660 3678978409 5405798170 7357956818 10811596340 12433335791 14715913636 18394892045 24866671582 36789784090 49733343164 62166678955 73579568180 74059434929 124333357910 148118869858 248666715820 296237739716 370297174645 740594349290 1481188698580 1703367003367 3406734006734 6813468013468 8516835016835 17033670033670 34067340067340