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103213344 = 25313191433
BaseRepresentation
bin1100010011011…
…10100100100000
321012012210002110
412021232210200
5202410311334
614124115320
72362204353
oct611564440
9235183073
10103213344
1153296793
122a695b40
13184ca2b0
14d9ca29a
1590dbae9
hex626e920

103213344 has 96 divisors (see below), whose sum is σ = 293981184. Its totient is φ = 31518720.

The previous prime is 103213337. The next prime is 103213367. The reversal of 103213344 is 443312301.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 103213344.

It is a congruent number.

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, 238152 + ... + 238584.

It is an arithmetic number, because the mean of its divisors is an integer number (3062304).

Almost surely, 2103213344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103213344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146990592).

103213344 is an abundant number, since it is smaller than the sum of its proper divisors (190767840).

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

103213344 is a wasteful number, since it uses less digits than its factorization.

103213344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650 (or 642 counting only the distinct ones).

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

The square root of 103213344 is about 10159.3968324896. The cubic root of 103213344 is about 469.0782356683.

Adding to 103213344 its reverse (443312301), we get a palindrome (546525645).

The spelling of 103213344 in words is "one hundred three million, two hundred thirteen thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 191 208 312 382 416 433 573 624 764 866 1146 1248 1299 1528 1732 2292 2483 2598 3056 3464 4584 4966 5196 5629 6112 6928 7449 9168 9932 10392 11258 13856 14898 16887 18336 19864 20784 22516 29796 33774 39728 41568 45032 59592 67548 79456 82703 90064 119184 135096 165406 180128 238368 248109 270192 330812 496218 540384 661624 992436 1075139 1323248 1984872 2150278 2646496 3225417 3969744 4300556 6450834 7939488 8601112 12901668 17202224 25803336 34404448 51606672 103213344