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34444144 = 247307537
BaseRepresentation
bin1000001101100…
…1001101110000
32101210221111001
42003121031300
532304203034
63230131344
7565525150
oct203311560
971727431
1034444144
1118496439
12b650b54
13719ca67
144808760
153055a14
hex20d9370

34444144 has 20 divisors (see below), whose sum is σ = 76269424. Its totient is φ = 14761728.

The previous prime is 34444139. The next prime is 34444147. The reversal of 34444144 is 44144443.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34444147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 153657 + ... + 153880.

Almost surely, 234444144 is an apocalyptic number.

It is an amenable number.

34444144 is an abundant number, since it is smaller than the sum of its proper divisors (41825280).

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

34444144 is a wasteful number, since it uses less digits than its factorization.

34444144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307552 (or 307546 counting only the distinct ones).

The product of its digits is 12288, while the sum is 28.

The square root of 34444144 is about 5868.9133576839. The cubic root of 34444144 is about 325.3657232077.

Adding to 34444144 its reverse (44144443), we get a palindrome (78588587).

The spelling of 34444144 in words is "thirty-four million, four hundred forty-four thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 56 112 307537 615074 1230148 2152759 2460296 4305518 4920592 8611036 17222072 34444144