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10334820 = 2235237489
BaseRepresentation
bin100111011011…
…001001100100
3201110001201010
4213123021210
510121203240
61005302220
7153562446
oct47331144
921401633
1010334820
115919781
123564970
1321ab0a2
141530496
15d92280
hex9db264

10334820 has 48 divisors (see below), whose sum is σ = 30199680. Its totient is φ = 2635776.

The previous prime is 10334801. The next prime is 10334833. The reversal of 10334820 is 2843301.

It is a happy number.

10334820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×103348203 (a number of 22 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2365 + ... + 5124.

It is an arithmetic number, because the mean of its divisors is an integer number (629160).

Almost surely, 210334820 is an apocalyptic number.

10334820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10334820 is an abundant number, since it is smaller than the sum of its proper divisors (19864860).

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

10334820 is a wasteful number, since it uses less digits than its factorization.

10334820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7524 (or 7522 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 10334820 is about 3214.7814855757. The cubic root of 10334820 is about 217.8216143033.

The spelling of 10334820 in words is "ten million, three hundred thirty-four thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 276 345 460 690 1380 7489 14978 22467 29956 37445 44934 74890 89868 112335 149780 172247 224670 344494 449340 516741 688988 861235 1033482 1722470 2066964 2583705 3444940 5167410 10334820