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102344200 = 23527411783
BaseRepresentation
bin1100001100110…
…10011000001000
321010120121211221
412012122120020
5202200003300
614053331424
72351624410
oct606323010
9233517757
10102344200
1152852792
122a336b74
13182847ca
14d841640
158eb931a
hex619a608

102344200 has 96 divisors (see below), whose sum is σ = 278732160. Its totient is φ = 34214400.

The previous prime is 102344197. The next prime is 102344201. The reversal of 102344200 is 2443201.

It is not an unprimeable number, because it can be changed into a prime (102344201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56509 + ... + 58291.

It is an arithmetic number, because the mean of its divisors is an integer number (2903460).

Almost surely, 2102344200 is an apocalyptic number.

102344200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102344200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139366080).

102344200 is an abundant number, since it is smaller than the sum of its proper divisors (176387960).

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

102344200 is a wasteful number, since it uses less digits than its factorization.

102344200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1847 (or 1838 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 102344200 is about 10116.5310259990. The cubic root of 102344200 is about 467.7578434082.

Adding to 102344200 its reverse (2443201), we get a palindrome (104787401).

Subtracting from 102344200 its reverse (2443201), we obtain a palindrome (99900999).

The spelling of 102344200 in words is "one hundred two million, three hundred forty-four thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 41 50 56 70 82 100 140 164 175 200 205 280 287 328 350 410 574 700 820 1025 1148 1400 1435 1640 1783 2050 2296 2870 3566 4100 5740 7132 7175 8200 8915 11480 12481 14264 14350 17830 24962 28700 35660 44575 49924 57400 62405 71320 73103 89150 99848 124810 146206 178300 249620 292412 312025 356600 365515 499240 511721 584824 624050 731030 1023442 1248100 1462060 1827575 2046884 2496200 2558605 2924120 3655150 4093768 5117210 7310300 10234420 12793025 14620600 20468840 25586050 51172100 102344200