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103795344 = 24342832
BaseRepresentation
bin1100010111111…
…00101010010000
321020022100110000
412023330222100
5203032422334
614144410000
72400150222
oct613745220
9236270400
10103795344
1153653a84
122a916900
1318672183
14dadc412
1591a4299
hex62fca90

103795344 has 75 divisors (see below), whose sum is σ = 301479123. Its totient is φ = 34476192.

The previous prime is 103795339. The next prime is 103795357. The reversal of 103795344 is 443597301.

The square root of 103795344 is 10188.

It is a perfect power (a square), and thus also a powerful number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 103795299 and 103795308.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 366627 + ... + 366909.

Almost surely, 2103795344 is an apocalyptic number.

103795344 is the 10188-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103795344

103795344 is an abundant number, since it is smaller than the sum of its proper divisors (197683779).

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

103795344 is an frugal number, since it uses more digits than its factorization.

103795344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The cubic root of 103795344 is about 469.9582639867.

Multiplying 103795344 by its sum of digits (36), we get a square (3736632384 = 611282).

103795344 divided by its sum of digits (36) gives a square (2883204 = 16982).

The spelling of 103795344 in words is "one hundred three million, seven hundred ninety-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 283 324 432 566 648 849 1132 1296 1698 2264 2547 3396 4528 5094 6792 7641 10188 13584 15282 20376 22923 30564 40752 45846 61128 80089 91692 122256 160178 183384 240267 320356 366768 480534 640712 720801 961068 1281424 1441602 1922136 2162403 2883204 3844272 4324806 5766408 6487209 8649612 11532816 12974418 17299224 25948836 34598448 51897672 103795344