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1347000102 = 232731072039
BaseRepresentation
bin101000001001001…
…1001011100100110
310110212121200202200
41100102121130212
510224313000402
6341354515330
745244212000
oct12022313446
93425550680
101347000102
1163138a128
12317135b46
131860b2aa6
14cac77370
157d3c621c
hex50499726

1347000102 has 96 divisors (see below), whose sum is σ = 3436992000. Its totient is φ = 381073392.

The previous prime is 1347000077. The next prime is 1347000107. The reversal of 1347000102 is 2010007431.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1347000107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 659599 + ... + 661637.

It is an arithmetic number, because the mean of its divisors is an integer number (35802000).

Almost surely, 21347000102 is an apocalyptic number.

It is a pronic number, being equal to 36701×36702.

It is a practical number, because each smaller number is the sum of distinct divisors of 1347000102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1718496000).

1347000102 is an abundant number, since it is smaller than the sum of its proper divisors (2089991898).

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

1347000102 is a wasteful number, since it uses less digits than its factorization.

1347000102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2175 (or 2158 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 1347000102 is about 36701.4999965941. The cubic root of 1347000102 is about 1104.3901966272.

Adding to 1347000102 its reverse (2010007431), we get a palindrome (3357007533).

The spelling of 1347000102 in words is "one billion, three hundred forty-seven million, one hundred two", and thus it is an aban number.

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 107 126 147 214 294 321 343 441 642 686 749 882 963 1029 1498 1926 2039 2058 2247 3087 4078 4494 5243 6117 6174 6741 10486 12234 13482 14273 15729 18351 28546 31458 36701 36702 42819 47187 73402 85638 94374 99911 110103 128457 199822 218173 220206 256914 299733 330309 436346 599466 654519 660618 699377 899199 1309038 1398754 1527211 1798398 1963557 2098131 3054422 3927114 4196262 4581633 6294393 9163266 10690477 12588786 13744899 21380954 27489798 32071431 64142862 74833339 96214293 149666678 192428586 224500017 449000034 673500051 1347000102