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34120144 = 242817589
BaseRepresentation
bin1000001000101…
…0000111010000
32101012111001001
42002022013100
532213321034
63215151344
7563005432
oct202120720
971174031
1034120144
1118294a73
12b515554
1370b8446
144762652
152edea14
hex208a1d0

34120144 has 20 divisors (see below), whose sum is σ = 66351780. Its totient is φ = 16997120.

The previous prime is 34120117. The next prime is 34120147. The reversal of 34120144 is 44102143.

It can be written as a sum of positive squares in 2 ways, for example, as 9000000 + 25120144 = 3000^2 + 5012^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34120147) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 702 + ... + 8290.

It is an arithmetic number, because the mean of its divisors is an integer number (3317589).

Almost surely, 234120144 is an apocalyptic number.

It is an amenable number.

34120144 is a deficient number, since it is larger than the sum of its proper divisors (32231636).

34120144 is a wasteful number, since it uses less digits than its factorization.

34120144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7878 (or 7872 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 34120144 is about 5841.2450727563. The cubic root of 34120144 is about 324.3423196992.

Adding to 34120144 its reverse (44102143), we get a palindrome (78222287).

The spelling of 34120144 in words is "thirty-four million, one hundred twenty thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 281 562 1124 2248 4496 7589 15178 30356 60712 121424 2132509 4265018 8530036 17060072 34120144