Search a number
-
+
103234608 = 24331714057
BaseRepresentation
bin1100010011100…
…11110000110000
321012020212021000
412021303300300
5202412001413
614124402000
72362323351
oct611636060
9235225230
10103234608
1153300764
122a6a6300
1318506b89
14d9d3d28
1590e3073
hex6273c30

103234608 has 80 divisors (see below), whose sum is σ = 313774560. Its totient is φ = 32385024.

The previous prime is 103234517. The next prime is 103234609. The reversal of 103234608 is 806432301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (103234609) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 316 + ... + 14372.

It is an arithmetic number, because the mean of its divisors is an integer number (3922182).

Almost surely, 2103234608 is an apocalyptic number.

103234608 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103234608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156887280).

103234608 is an abundant number, since it is smaller than the sum of its proper divisors (210539952).

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

103234608 is a wasteful number, since it uses less digits than its factorization.

103234608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14091 (or 14079 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 103234608 is about 10160.4432974157. The cubic root of 103234608 is about 469.1104466026.

Adding to 103234608 its reverse (806432301), we get a palindrome (909666909).

The spelling of 103234608 in words is "one hundred three million, two hundred thirty-four thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 102 108 136 144 153 204 216 272 306 408 432 459 612 816 918 1224 1836 2448 3672 7344 14057 28114 42171 56228 84342 112456 126513 168684 224912 238969 253026 337368 379539 477938 506052 674736 716907 759078 955876 1012104 1433814 1518156 1911752 2024208 2150721 2867628 3036312 3823504 4301442 5735256 6072624 6452163 8602884 11470512 12904326 17205768 25808652 34411536 51617304 103234608