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34001107740 = 22325672819329
BaseRepresentation
bin11111101010100111…
…111011101100011100
310020202121002020100200
4133222213323230130
51024113240421430
623341521423500
72312402434665
oct375247735434
9106677066320
1034001107740
1113468814546
12670aa9ab90
13328b2b3a82
1419079aa36c
15d4001c460
hex7ea9fbb1c

34001107740 has 72 divisors (see below), whose sum is σ = 104676084240. Its totient is φ = 8931631104.

The previous prime is 34001107729. The next prime is 34001107741. The reversal of 34001107740 is 4770110043.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34001107741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1397605 + ... + 1421724.

Almost surely, 234001107740 is an apocalyptic number.

34001107740 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34001107740 is an abundant number, since it is smaller than the sum of its proper divisors (70674976500).

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

34001107740 is a wasteful number, since it uses less digits than its factorization.

34001107740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2819411 (or 2819406 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

Adding to 34001107740 its reverse (4770110043), we get a palindrome (38771217783).

The spelling of 34001107740 in words is "thirty-four billion, one million, one hundred seven thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 67 90 134 180 201 268 335 402 603 670 804 1005 1206 1340 2010 2412 3015 4020 6030 12060 2819329 5638658 8457987 11277316 14096645 16915974 25373961 28193290 33831948 42289935 50747922 56386580 84579870 101495844 126869805 169159740 188895043 253739610 377790086 507479220 566685129 755580172 944475215 1133370258 1700055387 1888950430 2266740516 2833425645 3400110774 3777900860 5666851290 6800221548 8500276935 11333702580 17000553870 34001107740