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102043344 = 24313295639
BaseRepresentation
bin1100001010100…
…00111011010000
321010000100011010
412011100323100
5202110341334
614043050520
72346232314
oct605207320
9233010133
10102043344
1152667747
122a210a40
13181aa8a0
14d7a3b44
158e5a0e9
hex6150ed0

102043344 has 80 divisors (see below), whose sum is σ = 293731200. Its totient is φ = 30309888.

The previous prime is 102043339. The next prime is 102043349. The reversal of 102043344 is 443340201.

It is an interprime number because it is at equal distance from previous prime (102043339) and next prime (102043349).

It is a self number, because there is not a number n which added to its sum of digits gives 102043344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102043349) by changing a digit.

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, 15277 + ... + 20915.

It is an arithmetic number, because the mean of its divisors is an integer number (3671640).

Almost surely, 2102043344 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 102043344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146865600).

102043344 is an abundant number, since it is smaller than the sum of its proper divisors (191687856).

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

102043344 is a wasteful number, since it uses less digits than its factorization.

102043344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5692 (or 5686 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 102043344 is about 10101.6505582009. The cubic root of 102043344 is about 467.2990456255.

Adding to 102043344 its reverse (443340201), we get a palindrome (545383545).

The spelling of 102043344 in words is "one hundred two million, forty-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 29 39 48 52 58 78 87 104 116 156 174 208 232 312 348 377 464 624 696 754 1131 1392 1508 2262 3016 4524 5639 6032 9048 11278 16917 18096 22556 33834 45112 67668 73307 90224 135336 146614 163531 219921 270672 293228 327062 439842 490593 586456 654124 879684 981186 1172912 1308248 1759368 1962372 2125903 2616496 3518736 3924744 4251806 6377709 7849488 8503612 12755418 17007224 25510836 34014448 51021672 102043344