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103736340 = 22325576313
BaseRepresentation
bin1100010111011…
…10010000010100
321020012100111200
412023232100110
5203024030330
614143232500
72366513211
oct613562024
9236170450
10103736340
1153613714
122a8a8730
1318651366
14dac4b08
159191a60
hex62ee414

103736340 has 36 divisors (see below), whose sum is σ = 314667444. Its totient is φ = 27662976.

The previous prime is 103736293. The next prime is 103736341. The reversal of 103736340 is 43637301.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 24561936 + 79174404 = 4956^2 + 8898^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1037363402 = 21522456473191200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103736341) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 287977 + ... + 288336.

Almost surely, 2103736340 is an apocalyptic number.

103736340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103736340 is an abundant number, since it is smaller than the sum of its proper divisors (210931104).

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

103736340 is a wasteful number, since it uses less digits than its factorization.

103736340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 576328 (or 576323 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 27.

The square root of 103736340 is about 10185.1038286313. The cubic root of 103736340 is about 469.8691955295.

The spelling of 103736340 in words is "one hundred three million, seven hundred thirty-six thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 576313 1152626 1728939 2305252 2881565 3457878 5186817 5763130 6915756 8644695 10373634 11526260 17289390 20747268 25934085 34578780 51868170 103736340