Search a number
-
+
103380342 = 23132432371
BaseRepresentation
bin1100010100101…
…11010101110110
321012112021011120
412022113111312
5202431132332
614131444410
72363501262
oct612272566
9235467146
10103380342
11533a01aa
122a756706
1318558300
14da310a2
15912132c
hex6297576

103380342 has 48 divisors (see below), whose sum is σ = 229192128. Its totient is φ = 31056480.

The previous prime is 103380341. The next prime is 103380367. The reversal of 103380342 is 243083301.

It is a super-2 number, since 2×1033803422 = 21374990224073928, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103380341) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42417 + ... + 44787.

It is an arithmetic number, because the mean of its divisors is an integer number (4774836).

Almost surely, 2103380342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103380342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114596064).

103380342 is an abundant number, since it is smaller than the sum of its proper divisors (125811786).

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

103380342 is a wasteful number, since it uses less digits than its factorization.

103380342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2445 (or 2432 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 103380342 is about 10167.6124040996. The cubic root of 103380342 is about 469.3310870719.

The spelling of 103380342 in words is "one hundred three million, three hundred eighty thousand, three hundred forty-two".

Divisors: 1 2 3 6 13 26 39 43 78 86 129 169 258 338 507 559 1014 1118 1677 2371 3354 4742 7113 7267 14226 14534 21801 30823 43602 61646 92469 101953 184938 203906 305859 400699 611718 801398 1202097 1325389 2404194 2650778 3976167 7952334 17230057 34460114 51690171 103380342