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103346144 = 2511331887
BaseRepresentation
bin1100010100011…
…10111111100000
321012110112020222
412022032333200
5202424034034
614131022212
72363266466
oct612167740
9235415228
10103346144
1153377540
122a73a968
1318545885
14da22836
15911612e
hex628efe0

103346144 has 48 divisors (see below), whose sum is σ = 222880896. Its totient is φ = 46780800.

The previous prime is 103346137. The next prime is 103346147. The reversal of 103346144 is 441643301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103346147) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 116069 + ... + 116955.

It is an arithmetic number, because the mean of its divisors is an integer number (4643352).

Almost surely, 2103346144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103346144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111440448).

103346144 is an abundant number, since it is smaller than the sum of its proper divisors (119534752).

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

103346144 is a wasteful number, since it uses less digits than its factorization.

103346144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1239 (or 1231 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The square root of 103346144 is about 10165.9305525859. The cubic root of 103346144 is about 469.2793301185.

Adding to 103346144 its reverse (441643301), we get a palindrome (544989445).

The spelling of 103346144 in words is "one hundred three million, three hundred forty-six thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 331 352 662 887 1324 1774 2648 3548 3641 5296 7096 7282 9757 10592 14192 14564 19514 28384 29128 39028 58256 78056 116512 156112 293597 312224 587194 1174388 2348776 3229567 4697552 6459134 9395104 12918268 25836536 51673072 103346144