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10344152 = 2371321093
BaseRepresentation
bin100111011101…
…011011011000
3201110112111202
4213131123120
510122003102
61005413332
7153631610
oct47353330
921415452
1010344152
115925795
12356a248
1321b2400
141533a40
15d94e02
hex9dd6d8

10344152 has 48 divisors (see below), whose sum is σ = 24024240. Its totient is φ = 4088448.

The previous prime is 10344149. The next prime is 10344161. The reversal of 10344152 is 25144301.

10344152 = T393 + T394 + ... + T496.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8918 + ... + 10010.

It is an arithmetic number, because the mean of its divisors is an integer number (500505).

Almost surely, 210344152 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 10344152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12012120).

10344152 is an abundant number, since it is smaller than the sum of its proper divisors (13680088).

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

10344152 is a wasteful number, since it uses less digits than its factorization.

10344152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1132 (or 1115 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 10344152 is about 3216.2325786547. The cubic root of 10344152 is about 217.8871564797.

Adding to 10344152 its reverse (25144301), we get a palindrome (35488453).

The spelling of 10344152 in words is "ten million, three hundred forty-four thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 169 182 338 364 676 728 1093 1183 1352 2186 2366 4372 4732 7651 8744 9464 14209 15302 28418 30604 56836 61208 99463 113672 184717 198926 369434 397852 738868 795704 1293019 1477736 2586038 5172076 10344152