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34040514324 = 22343233283133
BaseRepresentation
bin11111101100111110…
…010000011100010100
310020212100020022000210
4133230332100130110
51024203332424244
623345450205420
72313361411665
oct375476203424
9106770208023
1034040514324
1113488a8a273
126720123870
13329650048b
14190cd0736c
15d437034b9
hex7ecf90714

34040514324 has 48 divisors (see below), whose sum is σ = 81624134592. Its totient is φ = 11035352832.

The previous prime is 34040514301. The next prime is 34040514341. The reversal of 34040514324 is 42341504043.

It is a junction number, because it is equal to n+sod(n) for n = 34040514291 and 34040514300.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 21339 + ... + 261794.

It is an arithmetic number, because the mean of its divisors is an integer number (1700502804).

Almost surely, 234040514324 is an apocalyptic number.

It is an amenable number.

34040514324 is an abundant number, since it is smaller than the sum of its proper divisors (47583620268).

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

34040514324 is a wasteful number, since it uses less digits than its factorization.

34040514324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283416 (or 283414 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

The spelling of 34040514324 in words is "thirty-four billion, forty million, five hundred fourteen thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 12 43 86 129 172 233 258 466 516 699 932 1398 2796 10019 20038 30057 40076 60114 120228 283133 566266 849399 1132532 1698798 3397596 12174719 24349438 36524157 48698876 65969989 73048314 131939978 146096628 197909967 263879956 395819934 791639868 2836709527 5673419054 8510128581 11346838108 17020257162 34040514324