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10116344 = 2372131197
BaseRepresentation
bin100110100101…
…110011111000
3201000222000102
4212211303320
510042210334
61000454532
7151662500
oct46456370
921028012
1010116344
11578a617
12347a448
132132804
1414b4a00
15d4c67e
hex9a5cf8

10116344 has 48 divisors (see below), whose sum is σ = 22346280. Its totient is φ = 4280640.

The previous prime is 10116329. The next prime is 10116347. The reversal of 10116344 is 44361101.

10116344 = T1 + T2 + ... + T392.

10116344 is nontrivially palindromic in base 3.

10116344 is a nontrivial binomial coefficient, being equal to C(394, 3).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10116347) by changing a digit.

It is the 392-nd tetrahedral number.

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 11 ways as a sum of consecutive naturals, for example, 51254 + ... + 51450.

Almost surely, 210116344 is an apocalyptic number.

10116344 is a gapful number since it is divisible by the number (14) 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 10116344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11173140).

10116344 is an abundant number, since it is smaller than the sum of its proper divisors (12229936).

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

10116344 is a wasteful number, since it uses less digits than its factorization.

10116344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 10116344 is about 3180.6200653332. The cubic root of 10116344 is about 216.2757680321.

Adding to 10116344 its reverse (44361101), we get a palindrome (54477445).

The spelling of 10116344 in words is "ten million, one hundred sixteen thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 28 49 56 98 131 196 197 262 392 394 524 788 917 1048 1379 1576 1834 2758 3668 5516 6419 7336 9653 11032 12838 19306 25676 25807 38612 51352 51614 77224 103228 180649 206456 361298 722596 1264543 1445192 2529086 5058172 10116344