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103135344 = 24313198699
BaseRepresentation
bin1100010010110…
…11100001110000
321012001211002120
412021123201300
5202400312334
614122314240
72361431064
oct611334160
9235054076
10103135344
1153243124
122a658980
13184a0940
14d9a9aa4
1590c3949
hex625b870

103135344 has 80 divisors (see below), whose sum is σ = 302064000. Its totient is φ = 30060288.

The previous prime is 103135337. The next prime is 103135387. The reversal of 103135344 is 443531301.

It is a happy number.

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 15 ways as a sum of consecutive naturals, for example, 7507 + ... + 16205.

It is an arithmetic number, because the mean of its divisors is an integer number (3775800).

Almost surely, 2103135344 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 103135344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151032000).

103135344 is an abundant number, since it is smaller than the sum of its proper divisors (198928656).

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

103135344 is a wasteful number, since it uses less digits than its factorization.

103135344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8742 (or 8736 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 103135344 is about 10155.5572963772. The cubic root of 103135344 is about 468.9600425434.

Adding to 103135344 its reverse (443531301), we get a palindrome (546666645).

The spelling of 103135344 in words is "one hundred three million, one hundred thirty-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 38 39 48 52 57 76 78 104 114 152 156 208 228 247 304 312 456 494 624 741 912 988 1482 1976 2964 3952 5928 8699 11856 17398 26097 34796 52194 69592 104388 113087 139184 165281 208776 226174 330562 339261 417552 452348 495843 661124 678522 904696 991686 1322248 1357044 1809392 1983372 2148653 2644496 2714088 3966744 4297306 5428176 6445959 7933488 8594612 12891918 17189224 25783836 34378448 51567672 103135344