Search a number
-
+
103081344 = 273331811
BaseRepresentation
bin1100010010011…
…10010110000000
321011222002000120
412021032112000
5202342100334
614121220240
72361114462
oct611162600
9234862016
10103081344
11532065a3
122a631680
13184821a2
14d994132
1590b2949
hex624e580

103081344 has 64 divisors (see below), whose sum is σ = 274975680. Its totient is φ = 34214400.

The previous prime is 103081337. The next prime is 103081351. The reversal of 103081344 is 443180301.

It is an interprime number because it is at equal distance from previous prime (103081337) and next prime (103081351).

It is a tau number, because it is divible by the number of its divisors (64).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 126699 + ... + 127509.

It is an arithmetic number, because the mean of its divisors is an integer number (4296495).

Almost surely, 2103081344 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 103081344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137487840).

103081344 is an abundant number, since it is smaller than the sum of its proper divisors (171894336).

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

103081344 is an equidigital number, since it uses as much as digits as its factorization.

103081344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1159 (or 1147 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 103081344 is about 10152.8983054101. The cubic root of 103081344 is about 468.8781816206.

The spelling of 103081344 in words is "one hundred three million, eighty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 331 384 662 811 993 1324 1622 1986 2433 2648 3244 3972 4866 5296 6488 7944 9732 10592 12976 15888 19464 21184 25952 31776 38928 42368 51904 63552 77856 103808 127104 155712 268441 311424 536882 805323 1073764 1610646 2147528 3221292 4295056 6442584 8590112 12885168 17180224 25770336 34360448 51540672 103081344