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103304420 = 22541532377
BaseRepresentation
bin1100010100001…
…00110011100100
321012101102000122
412022010303210
5202421220140
614130101112
72363034032
oct612046344
9235342018
10103304420
115334915a
122a71a798
131852c89b
14da11552
159108ab5
hex6284ce4

103304420 has 48 divisors (see below), whose sum is σ = 226518768. Its totient is φ = 39536640.

The previous prime is 103304389. The next prime is 103304437. The reversal of 103304420 is 24403301.

It can be written as a sum of positive squares in 8 ways, for example, as 8514724 + 94789696 = 2918^2 + 9736^2 .

It is a super-3 number, since 3×1033044203 (a number of 25 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42272 + ... + 44648.

It is an arithmetic number, because the mean of its divisors is an integer number (4719141).

Almost surely, 2103304420 is an apocalyptic number.

103304420 is a gapful number since it is divisible by the number (10) 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 103304420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113259384).

103304420 is an abundant number, since it is smaller than the sum of its proper divisors (123214348).

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

103304420 is a wasteful number, since it uses less digits than its factorization.

103304420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2480 (or 2478 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 103304420 is about 10163.8781968302. The cubic root of 103304420 is about 469.2161674768.

Adding to 103304420 its reverse (24403301), we get a palindrome (127707721).

The spelling of 103304420 in words is "one hundred three million, three hundred four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 41 53 82 106 164 205 212 265 410 530 820 1060 2173 2377 4346 4754 8692 9508 10865 11885 21730 23770 43460 47540 97457 125981 194914 251962 389828 487285 503924 629905 974570 1259810 1949140 2519620 5165221 10330442 20660884 25826105 51652210 103304420