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102316344 = 23313353929
BaseRepresentation
bin1100001100100…
…11100100111000
321010112012122020
412012103210320
5202143110334
614052554440
72351450244
oct606234470
9233465566
10102316344
1152833869
122a322a20
1318274c20
14d835424
158eb0e49
hex6193938

102316344 has 64 divisors (see below), whose sum is σ = 276544800. Its totient is φ = 31358976.

The previous prime is 102316343. The next prime is 102316369. The reversal of 102316344 is 443613201.

It is a super-3 number, since 3×1023163443 (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102316343) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109672 + ... + 110600.

Almost surely, 2102316344 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 102316344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138272400).

102316344 is an abundant number, since it is smaller than the sum of its proper divisors (174228456).

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

102316344 is a wasteful number, since it uses less digits than its factorization.

102316344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1304 (or 1300 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 102316344 is about 10115.1541757899. The cubic root of 102316344 is about 467.7154015150.

Adding to 102316344 its reverse (443613201), we get a palindrome (545929545).

The spelling of 102316344 in words is "one hundred two million, three hundred sixteen thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 353 706 929 1059 1412 1858 2118 2787 2824 3716 4236 4589 5574 7432 8472 9178 11148 12077 13767 18356 22296 24154 27534 36231 36712 48308 55068 72462 96616 110136 144924 289848 327937 655874 983811 1311748 1967622 2623496 3935244 4263181 7870488 8526362 12789543 17052724 25579086 34105448 51158172 102316344