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34487145 = 32571137269
BaseRepresentation
bin1000001110001…
…1101101101001
32101220010110200
42003203231221
532312042040
63231102413
7566064420
oct203435551
971803420
1034487145
1118515780
12b671a09
1371b64c4
14481a2b7
153063630
hex20e3b69

34487145 has 96 divisors (see below), whose sum is σ = 76826880. Its totient is φ = 13893120.

The previous prime is 34487137. The next prime is 34487209. The reversal of 34487145 is 54178443.

34487145 is a `hidden beast` number, since 34 + 487 + 145 = 666.

34487145 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 34487145 - 23 = 34487137 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 128071 + ... + 128339.

It is an arithmetic number, because the mean of its divisors is an integer number (800280).

Almost surely, 234487145 is an apocalyptic number.

34487145 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

34487145 is an abundant number, since it is smaller than the sum of its proper divisors (42339735).

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

34487145 is a wasteful number, since it uses less digits than its factorization.

34487145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 332 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 34487145 is about 5872.5756700106. The cubic root of 34487145 is about 325.5010653550.

The spelling of 34487145 in words is "thirty-four million, four hundred eighty-seven thousand, one hundred forty-five".

Divisors: 1 3 5 7 9 11 15 21 33 35 37 45 55 63 77 99 105 111 165 185 231 259 269 315 333 385 407 495 555 693 777 807 1155 1221 1295 1345 1665 1883 2035 2331 2421 2849 2959 3465 3663 3885 4035 5649 6105 8547 8877 9415 9953 11655 12105 14245 14795 16947 18315 20713 25641 26631 28245 29859 42735 44385 49765 62139 69671 84735 89577 103565 109483 128205 133155 149295 186417 209013 310695 328449 348355 447885 547415 627039 766381 932085 985347 1045065 1642245 2299143 3135195 3831905 4926735 6897429 11495715 34487145