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34023038445 = 3351147487471
BaseRepresentation
bin11111101011111011…
…100101110111101101
310020211010100102122000
4133223323211313231
51024134344212240
623344023442513
72313060024624
oct375373456755
9106733312560
1034023038445
111347a1333a0
1267162b6439
1332929c1c16
14190a8786bb
15d41e00430
hex7ebee5ded

34023038445 has 64 divisors (see below), whose sum is σ = 67388129280. Its totient is φ = 16145006400.

The previous prime is 34023038437. The next prime is 34023038447. The reversal of 34023038445 is 54483032043.

34023038445 is a `hidden beast` number, since 3 + 4 + 0 + 230 + 384 + 45 = 666.

It is not a de Polignac number, because 34023038445 - 23 = 34023038437 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34023038447) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 173941 + ... + 313530.

It is an arithmetic number, because the mean of its divisors is an integer number (1052939520).

Almost surely, 234023038445 is an apocalyptic number.

It is an amenable number.

34023038445 is a deficient number, since it is larger than the sum of its proper divisors (33365090835).

34023038445 is a wasteful number, since it uses less digits than its factorization.

34023038445 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487543 (or 487537 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The spelling of 34023038445 in words is "thirty-four billion, twenty-three million, thirty-eight thousand, four hundred forty-five".

Divisors: 1 3 5 9 11 15 27 33 45 47 55 99 135 141 165 235 297 423 495 517 705 1269 1485 1551 2115 2585 4653 6345 7755 13959 23265 69795 487471 1462413 2437355 4387239 5362181 7312065 13161717 16086543 21936195 22911137 26810905 48259629 65808585 68733411 80432715 114555685 144778887 206200233 241298145 252022507 343667055 618600699 723894435 756067521 1031001165 1260112535 2268202563 3093003495 3780337605 6804607689 11341012815 34023038445