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10384296 = 2331383401
BaseRepresentation
bin100111100111…
…001110101000
3201112120120120
4213213032220
510124244141
61010323240
7154156626
oct47471650
921476516
1010384296
11595296a
123589520
1321c7770
141544516
15da1c66
hex9e73a8

10384296 has 64 divisors (see below), whose sum is σ = 28365120. Its totient is φ = 3148800.

The previous prime is 10384289. The next prime is 10384307. The reversal of 10384296 is 69248301.

It is an unprimeable 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 15 ways as a sum of consecutive naturals, for example, 25696 + ... + 26096.

It is an arithmetic number, because the mean of its divisors is an integer number (443205).

Almost surely, 210384296 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 10384296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14182560).

10384296 is an abundant number, since it is smaller than the sum of its proper divisors (17980824).

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

10384296 is a wasteful number, since it uses less digits than its factorization.

10384296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 10384296 is about 3222.4673776471. The cubic root of 10384296 is about 218.1686543826.

The spelling of 10384296 in words is "ten million, three hundred eighty-four thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 83 104 156 166 249 312 332 401 498 664 802 996 1079 1203 1604 1992 2158 2406 3208 3237 4316 4812 5213 6474 8632 9624 10426 12948 15639 20852 25896 31278 33283 41704 62556 66566 99849 125112 133132 199698 266264 399396 432679 798792 865358 1298037 1730716 2596074 3461432 5192148 10384296