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103334144 = 28403649
BaseRepresentation
bin1100010100011…
…00000100000000
321012102220210112
412022030010000
5202423143034
614130450452
72363216504
oct612140400
9235386715
10103334144
1153369521
122a733a28
1318540284
14da1c304
1591127ce
hex628c100

103334144 has 18 divisors (see below), whose sum is σ = 206265150. Its totient is φ = 51666944.

The previous prime is 103334131. The next prime is 103334149. The reversal of 103334144 is 441433301.

It can be written as a sum of positive squares in only one way, i.e., 102252544 + 1081600 = 10112^2 + 1040^2 .

It is not an unprimeable number, because it can be changed into a prime (103334149) 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 as a sum of consecutive naturals, namely, 201569 + ... + 202080.

It is an arithmetic number, because the mean of its divisors is an integer number (11459175).

Almost surely, 2103334144 is an apocalyptic number.

It is an amenable number.

103334144 is a deficient number, since it is larger than the sum of its proper divisors (102931006).

103334144 is an frugal number, since it uses more digits than its factorization.

103334144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403665 (or 403651 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

The square root of 103334144 is about 10165.3403287839. The cubic root of 103334144 is about 469.2611660157.

Adding to 103334144 its reverse (441433301), we get a palindrome (544767445).

The spelling of 103334144 in words is "one hundred three million, three hundred thirty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 64 128 256 403649 807298 1614596 3229192 6458384 12916768 25833536 51667072 103334144