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103321344 = 283719219
BaseRepresentation
bin1100010100010…
…00111100000000
321012102021020110
412022020330000
5202422240334
614130311320
72363134260
oct612107400
9235367213
10103321344
115335a945
122a728540
13185374b9
14da177a0
15910dae9
hex6288f00

103321344 has 72 divisors (see below), whose sum is σ = 314285440. Its totient is φ = 29518848.

The previous prime is 103321343. The next prime is 103321349. The reversal of 103321344 is 443123301.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 103321344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103321343) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4234 + ... + 14985.

Almost surely, 2103321344 is an apocalyptic number.

103321344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

103321344 is an abundant number, since it is smaller than the sum of its proper divisors (210964096).

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

103321344 is an equidigital number, since it uses as much as digits as its factorization.

103321344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19245 (or 19231 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 103321344 is about 10164.7107189531. The cubic root of 103321344 is about 469.2417894228.

Adding to 103321344 its reverse (443123301), we get a palindrome (546444645).

The spelling of 103321344 in words is "one hundred three million, three hundred twenty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 672 768 896 1344 1792 2688 5376 19219 38438 57657 76876 115314 134533 153752 230628 269066 307504 403599 461256 538132 615008 807198 922512 1076264 1230016 1614396 1845024 2152528 2460032 3228792 3690048 4305056 4920064 6457584 7380096 8610112 12915168 14760192 17220224 25830336 34440448 51660672 103321344