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34040432331 = 342337014937
BaseRepresentation
bin11111101100111101…
…111100011011001011
310020212100002010120000
4133230331330123023
51024203322313311
623345444334043
72313360620643
oct375475743313
9106770063500
1034040432331
1113488a33704
1267200a4323
1332964a2069
14190ccc5523
15d436d9056
hex7ecf7c6cb

34040432331 has 40 divisors (see below), whose sum is σ = 53086502304. Its totient is φ = 21696681600.

The previous prime is 34040432329. The next prime is 34040432359. The reversal of 34040432331 is 13323404043.

It is not a de Polignac number, because 34040432331 - 21 = 34040432329 is a prime.

It is a super-3 number, since 3×340404323313 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 34040432295 and 34040432304.

It is not an unprimeable number, because it can be changed into a prime (34040432311) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6892495 + ... + 6897431.

Almost surely, 234040432331 is an apocalyptic number.

34040432331 is a deficient number, since it is larger than the sum of its proper divisors (19046069973).

34040432331 is a wasteful number, since it uses less digits than its factorization.

34040432331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8673 (or 8664 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 34040432331 its reverse (13323404043), we get a palindrome (47363836374).

The spelling of 34040432331 in words is "thirty-four billion, forty million, four hundred thirty-two thousand, three hundred thirty-one".

Divisors: 1 3 9 23 27 69 81 207 621 1863 3701 4937 11103 14811 33309 44433 85123 99927 113551 133299 255369 299781 340653 399897 766107 1021959 2298321 3065877 6894963 9197631 18271837 54815511 164446533 420252251 493339599 1260756753 1480018797 3782270259 11346810777 34040432331