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103345080 = 23351097901
BaseRepresentation
bin1100010100011…
…10101110111000
321012110110210120
412022032232320
5202424020310
614131013240
72363263416
oct612165670
9235413716
10103345080
1153376763
122a73a220
1318545247
14da222b6
159115b70
hex628ebb8

103345080 has 64 divisors (see below), whose sum is σ = 312919200. Its totient is φ = 27302400.

The previous prime is 103345069. The next prime is 103345087. The reversal of 103345080 is 80543301.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 103345080.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103345087) 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, 9130 + ... + 17030.

Almost surely, 2103345080 is an apocalyptic number.

103345080 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 103345080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156459600).

103345080 is an abundant number, since it is smaller than the sum of its proper divisors (209574120).

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

103345080 is a wasteful number, since it uses less digits than its factorization.

103345080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8024 (or 8020 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 103345080 is about 10165.8782207933. The cubic root of 103345080 is about 469.2777196249.

Adding to 103345080 its reverse (80543301), we get a palindrome (183888381).

The spelling of 103345080 in words is "one hundred three million, three hundred forty-five thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 109 120 218 327 436 545 654 872 1090 1308 1635 2180 2616 3270 4360 6540 7901 13080 15802 23703 31604 39505 47406 63208 79010 94812 118515 158020 189624 237030 316040 474060 861209 948120 1722418 2583627 3444836 4306045 5167254 6889672 8612090 10334508 12918135 17224180 20669016 25836270 34448360 51672540 103345080