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34146848 = 2510332
BaseRepresentation
bin1000001001000…
…0101000100000
32101020211200002
42002100220200
532220144343
63215515132
7563146331
oct202205040
971224602
1034146848
111830303a
12b528aa8
1370c7648
14476c288
152ee78b8
hex2090a20

34146848 has 18 divisors (see below), whose sum is σ = 67291749. Its totient is φ = 17056896.

The previous prime is 34146823. The next prime is 34146851. The reversal of 34146848 is 84864143.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 23309584 + 10837264 = 4828^2 + 3292^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=4132.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 32540 + ... + 33572.

Almost surely, 234146848 is an apocalyptic number.

It is an amenable number.

34146848 is a deficient number, since it is larger than the sum of its proper divisors (33144901).

34146848 is an frugal number, since it uses more digits than its factorization.

34146848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2076 (or 1035 counting only the distinct ones).

The product of its digits is 73728, while the sum is 38.

The square root of 34146848 is about 5843.5304397256. The cubic root of 34146848 is about 324.4269127256.

Multiplying 34146848 by its product of digits (73728), we get a square (2517578809344 = 15866882).

The spelling of 34146848 in words is "thirty-four million, one hundred forty-six thousand, eight hundred forty-eight".

Divisors: 1 2 4 8 16 32 1033 2066 4132 8264 16528 33056 1067089 2134178 4268356 8536712 17073424 34146848