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34468069460 = 22511473333469
BaseRepresentation
bin100000000110011101…
…010000000001010100
310021222010202100102012
4200012131100001110
51031042311210320
623500122203352
72330102520266
oct400635200124
9107863670365
1034468069460
1113688365820
12681b353558
133333c6bc96
14194da01b36
15d6b00b4c5
hex806750054

34468069460 has 48 divisors (see below), whose sum is σ = 80643306240. Its totient is φ = 12267162240.

The previous prime is 34468069411. The next prime is 34468069469. The reversal of 34468069460 is 6496086443.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 34468069399 and 34468069408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34468069469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1656395 + ... + 1677074.

It is an arithmetic number, because the mean of its divisors is an integer number (1680068880).

Almost surely, 234468069460 is an apocalyptic number.

It is an amenable number.

34468069460 is an abundant number, since it is smaller than the sum of its proper divisors (46175236780).

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

34468069460 is a wasteful number, since it uses less digits than its factorization.

34468069460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3333536 (or 3333534 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 50.

The spelling of 34468069460 in words is "thirty-four billion, four hundred sixty-eight million, sixty-nine thousand, four hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 44 47 55 94 110 188 220 235 470 517 940 1034 2068 2585 5170 10340 3333469 6666938 13333876 16667345 33334690 36668159 66669380 73336318 146672636 156673043 183340795 313346086 366681590 626692172 733363180 783365215 1566730430 1723403473 3133460860 3446806946 6893613892 8617017365 17234034730 34468069460