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10334952 = 233441389
BaseRepresentation
bin100111011011…
…001011101000
3201110001220000
4213123023220
510121204302
61005303000
7153563025
oct47331350
921401800
1010334952
115919891
123564a60
1321ab174
14153054c
15d9231c
hex9db2e8

10334952 has 80 divisors (see below), whose sum is σ = 29729700. Its totient is φ = 3352320.

The previous prime is 10334941. The next prime is 10334977. The reversal of 10334952 is 25943301.

It can be written as a sum of positive squares in 2 ways, for example, as 8608356 + 1726596 = 2934^2 + 1314^2 .

It is a super-2 number, since 2×103349522 = 213622465684608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 19 ways as a sum of consecutive naturals, for example, 26374 + ... + 26762.

Almost surely, 210334952 is an apocalyptic number.

10334952 is a gapful number since it is divisible by the number (12) 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 10334952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14864850).

10334952 is an abundant number, since it is smaller than the sum of its proper divisors (19394748).

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

10334952 is a wasteful number, since it uses less digits than its factorization.

10334952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 10334952 is about 3214.8020156769. The cubic root of 10334952 is about 217.8225416644.

The spelling of 10334952 in words is "ten million, three hundred thirty-four thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 41 54 72 81 82 108 123 162 164 216 246 324 328 369 389 492 648 738 778 984 1107 1167 1476 1556 2214 2334 2952 3112 3321 3501 4428 4668 6642 7002 8856 9336 10503 13284 14004 15949 21006 26568 28008 31509 31898 42012 47847 63018 63796 84024 95694 126036 127592 143541 191388 252072 287082 382776 430623 574164 861246 1148328 1291869 1722492 2583738 3444984 5167476 10334952