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103201434 = 23272573187
BaseRepresentation
bin1100010011010…
…11101010011010
321012012011202100
412021223222122
5202404421214
614123544230
72362124550
oct611535232
9235164670
10103201434
1153288846
122a68b076
13184c4a4b
14d9c5bd0
1590d8309
hex626ba9a

103201434 has 48 divisors (see below), whose sum is σ = 256621248. Its totient is φ = 29362176.

The previous prime is 103201433. The next prime is 103201457. The reversal of 103201434 is 434102301.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (103201433) 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, 30789 + ... + 33975.

It is an arithmetic number, because the mean of its divisors is an integer number (5346276).

Almost surely, 2103201434 is an apocalyptic number.

103201434 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 103201434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128310624).

103201434 is an abundant number, since it is smaller than the sum of its proper divisors (153419814).

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

103201434 is a wasteful number, since it uses less digits than its factorization.

103201434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3459 (or 3456 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 103201434 is about 10158.8106587336. The cubic root of 103201434 is about 469.0601923402.

Adding to 103201434 its reverse (434102301), we get a palindrome (537303735).

The spelling of 103201434 in words is "one hundred three million, two hundred one thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 257 514 771 1542 1799 2313 3187 3598 4626 5397 6374 9561 10794 16191 19122 22309 28683 32382 44618 57366 66927 133854 200781 401562 819059 1638118 2457177 4914354 5733413 7371531 11466826 14743062 17200239 34400478 51600717 103201434