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34115076 = 2232947641
BaseRepresentation
bin1000001000100…
…0111000000100
32101012020002100
42002020320010
532213140301
63215112100
7562654602
oct202107004
971166070
1034115076
1118291186
12b512630
1370b6048
144760872
152edd286
hex2088e04

34115076 has 18 divisors (see below), whose sum is σ = 86235422. Its totient is φ = 11371680.

The previous prime is 34115071. The next prime is 34115111. The reversal of 34115076 is 67051143.

It can be written as a sum of positive squares in only one way, i.e., 29160000 + 4955076 = 5400^2 + 2226^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is not an unprimeable number, because it can be changed into a prime (34115071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 473785 + ... + 473856.

Almost surely, 234115076 is an apocalyptic number.

34115076 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

34115076 is an abundant number, since it is smaller than the sum of its proper divisors (52120346).

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

34115076 is a wasteful number, since it uses less digits than its factorization.

34115076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 947651 (or 947646 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 34115076 is about 5840.8112450241. The cubic root of 34115076 is about 324.3262602880.

The spelling of 34115076 in words is "thirty-four million, one hundred fifteen thousand, seventy-six".

Divisors: 1 2 3 4 6 9 12 18 36 947641 1895282 2842923 3790564 5685846 8528769 11371692 17057538 34115076