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34340211330 = 23541103271057
BaseRepresentation
bin11111111110110101…
…100000101010000010
310021122020011111000220
4133332311200222002
51030312043230310
623435313523510
72323660660125
oct377665405202
9107566144026
1034340211330
1113622177047
1267a4573596
133313623399
14193aa3c3bc
15d5eba2670
hex7fed60a82

34340211330 has 64 divisors (see below), whose sum is σ = 85246656768. Its totient is φ = 8847267840.

The previous prime is 34340211307. The next prime is 34340211359. The reversal of 34340211330 is 3311204343.

It is a super-2 number, since 2×343402113302 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 34340211330.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8839 + ... + 262218.

It is an arithmetic number, because the mean of its divisors is an integer number (1331979012).

Almost surely, 234340211330 is an apocalyptic number.

34340211330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34340211330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42623328384).

34340211330 is an abundant number, since it is smaller than the sum of its proper divisors (50906445438).

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

34340211330 is a wasteful number, since it uses less digits than its factorization.

34340211330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271211.

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 34340211330 its reverse (3311204343), we get a palindrome (37651415673).

The spelling of 34340211330 in words is "thirty-four billion, three hundred forty million, two hundred eleven thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 41 82 103 123 205 206 246 309 410 515 615 618 1030 1230 1545 3090 4223 8446 12669 21115 25338 42230 63345 126690 271057 542114 813171 1355285 1626342 2710570 4065855 8131710 11113337 22226674 27918871 33340011 55566685 55837742 66680022 83756613 111133370 139594355 166700055 167513226 279188710 333400110 418783065 837566130 1144673711 2289347422 3434021133 5723368555 6868042266 11446737110 17170105665 34340211330