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103513344 = 2831112253
BaseRepresentation
bin1100010101101…
…11110100000000
321012210000121120
412022313310000
5202444411334
614134352240
72364564114
oct612676400
9235700546
10103513344
1153481120
122a7bb680
13185a39cc
14da67744
15914a949
hex62b7d00

103513344 has 72 divisors (see below), whose sum is σ = 300566112. Its totient is φ = 31365120.

The previous prime is 103513331. The next prime is 103513379. The reversal of 103513344 is 443315301.

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 7 ways as a sum of consecutive naturals, for example, 2322 + ... + 14574.

Almost surely, 2103513344 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 103513344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150283056).

103513344 is an abundant number, since it is smaller than the sum of its proper divisors (197052768).

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

103513344 is a wasteful number, since it uses less digits than its factorization.

103513344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12283 (or 12269 counting only the distinct ones).

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

The square root of 103513344 is about 10174.1507753719. The cubic root of 103513344 is about 469.5322704622.

Adding to 103513344 its reverse (443315301), we get a palindrome (546828645).

It can be divided in two parts, 10351 and 3344, that added together give a triangular number (13695 = T165).

The spelling of 103513344 in words is "one hundred three million, five hundred thirteen thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 528 704 768 1056 1408 2112 2816 4224 8448 12253 24506 36759 49012 73518 98024 134783 147036 196048 269566 294072 392096 404349 539132 588144 784192 808698 1078264 1176288 1568384 1617396 2156528 2352576 3136768 3234792 4313056 4705152 6469584 8626112 9410304 12939168 17252224 25878336 34504448 51756672 103513344