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103198336 = 276113217
BaseRepresentation
bin1100010011010…
…10111010000000
321012012000111121
412021222322000
5202404321321
614123522024
72362112533
oct611527200
9235160447
10103198336
115328648a
122a689314
13184c3507
14d9c4a1a
1590d7441
hex626ae80

103198336 has 32 divisors (see below), whose sum is σ = 208976580. Its totient is φ = 50749440.

The previous prime is 103198301. The next prime is 103198343. The reversal of 103198336 is 633891301.

It can be written as a sum of positive squares in 2 ways, for example, as 91087936 + 12110400 = 9544^2 + 3480^2 .

It is a tau number, because it is divible by the number of its divisors (32).

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 3 ways as a sum of consecutive naturals, for example, 1200 + ... + 14416.

Almost surely, 2103198336 is an apocalyptic number.

103198336 is a gapful number since it is divisible by the number (16) 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 103198336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104488290).

103198336 is an abundant number, since it is smaller than the sum of its proper divisors (105778244).

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

103198336 is an equidigital number, since it uses as much as digits as its factorization.

103198336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13292 (or 13280 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 34.

The square root of 103198336 is about 10158.6581791101. The cubic root of 103198336 is about 469.0554987265.

The spelling of 103198336 in words is "one hundred three million, one hundred ninety-eight thousand, three hundred thirty-six".

Divisors: 1 2 4 8 16 32 61 64 122 128 244 488 976 1952 3904 7808 13217 26434 52868 105736 211472 422944 806237 845888 1612474 1691776 3224948 6449896 12899792 25799584 51599168 103198336