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34415064 = 2333283563
BaseRepresentation
bin1000001101001…
…0000111011000
32101202110121000
42003102013120
532302240224
63225345000
7565344315
oct203220730
971673530
1034415064
1118476602
12b638160
13718c758
1447dbd0c
15304c0c9
hex20d21d8

34415064 has 64 divisors (see below), whose sum is σ = 96105600. Its totient is φ = 11410848.

The previous prime is 34415027. The next prime is 34415071. The reversal of 34415064 is 46051443.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60847 + ... + 61409.

It is an arithmetic number, because the mean of its divisors is an integer number (1501650).

Almost surely, 234415064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34415064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48052800).

34415064 is an abundant number, since it is smaller than the sum of its proper divisors (61690536).

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

34415064 is a wasteful number, since it uses less digits than its factorization.

34415064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 861 (or 851 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 34415064 is about 5866.4353742285. The cubic root of 34415064 is about 325.2741324167.

The spelling of 34415064 in words is "thirty-four million, four hundred fifteen thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 283 563 566 849 1126 1132 1689 1698 2252 2264 2547 3378 3396 4504 5067 5094 6756 6792 7641 10134 10188 13512 15201 15282 20268 20376 30402 30564 40536 60804 61128 121608 159329 318658 477987 637316 955974 1274632 1433961 1911948 2867922 3823896 4301883 5735844 8603766 11471688 17207532 34415064