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10673334 = 23272329127
BaseRepresentation
bin101000101101…
…110010110110
3202002021001200
4220231302312
510213021314
61020433330
7156502410
oct50556266
922067050
1010673334
116030041
1236a8846
1322991a9
1415bb9b0
15e0c709
hexa2dcb6

10673334 has 96 divisors (see below), whose sum is σ = 28753920. Its totient is φ = 2794176.

The previous prime is 10673323. The next prime is 10673339. The reversal of 10673334 is 43337601.

It is a happy number.

It is a super-2 number, since 2×106733342 = 227840117351112, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10673298 and 10673307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10673339) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 83979 + ... + 84105.

It is an arithmetic number, because the mean of its divisors is an integer number (299520).

Almost surely, 210673334 is an apocalyptic number.

10673334 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10673334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14376960).

10673334 is an abundant number, since it is smaller than the sum of its proper divisors (18080586).

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

10673334 is a wasteful number, since it uses less digits than its factorization.

10673334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 27.

The square root of 10673334 is about 3267.0068870451. The cubic root of 10673334 is about 220.1743383935.

The spelling of 10673334 in words is "ten million, six hundred seventy-three thousand, three hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 23 29 42 46 58 63 69 87 126 127 138 161 174 203 207 254 261 322 381 406 414 483 522 609 667 762 889 966 1143 1218 1334 1449 1778 1827 2001 2286 2667 2898 2921 3654 3683 4002 4669 5334 5842 6003 7366 8001 8763 9338 11049 12006 14007 16002 17526 20447 22098 25781 26289 28014 33147 40894 42021 51562 52578 61341 66294 77343 84042 84709 122682 154686 169418 184023 232029 254127 368046 464058 508254 592963 762381 1185926 1524762 1778889 3557778 5336667 10673334