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34148467740 = 2235920361843
BaseRepresentation
bin11111110011011010…
…000100010000011100
310021010212100220021110
4133303122010100130
51024414001431430
623404304102020
72316142120662
oct376332042034
9107125326243
1034148467740
1113533a13272
126750304910
1332b299a13a
14191d3a8c32
15d4ce297b0
hex7f368441c

34148467740 has 48 divisors (see below), whose sum is σ = 95627645568. Its totient is φ = 9105121344.

The previous prime is 34148467733. The next prime is 34148467799. The reversal of 34148467740 is 4776484143.

It is a super-2 number, since 2×341484677402 (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 34148467740.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 521259 + ... + 583101.

It is an arithmetic number, because the mean of its divisors is an integer number (1992242616).

Almost surely, 234148467740 is an apocalyptic number.

34148467740 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34148467740 is an abundant number, since it is smaller than the sum of its proper divisors (61479177828).

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

34148467740 is a wasteful number, since it uses less digits than its factorization.

34148467740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71058 (or 71056 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 48.

The spelling of 34148467740 in words is "thirty-four billion, one hundred forty-eight million, four hundred sixty-seven thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 9203 18406 27609 36812 46015 55218 61843 92030 110436 123686 138045 184060 185529 247372 276090 309215 371058 552180 618430 742116 927645 1236860 1855290 3710580 569141129 1138282258 1707423387 2276564516 2845705645 3414846774 5691411290 6829693548 8537116935 11382822580 17074233870 34148467740