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10345842 = 23213219179
BaseRepresentation
bin100111011101…
…110101110010
3201110121211100
4213131311302
510122031332
61005425230
7153636543
oct47356562
921417740
1010345842
115926a91
12356b216
1321b3100
1415344ca
15d9567c
hex9ddd72

10345842 has 72 divisors (see below), whose sum is σ = 25693200. Its totient is φ = 2998944.

The previous prime is 10345799. The next prime is 10345859. The reversal of 10345842 is 24854301.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 57709 + ... + 57887.

It is an arithmetic number, because the mean of its divisors is an integer number (356850).

Almost surely, 210345842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10345842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12846600).

10345842 is an abundant number, since it is smaller than the sum of its proper divisors (15347358).

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

10345842 is a wasteful number, since it uses less digits than its factorization.

10345842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 10345842 is about 3216.4952976804. The cubic root of 10345842 is about 217.8990217746.

The spelling of 10345842 in words is "ten million, three hundred forty-five thousand, eight hundred forty-two".

Divisors: 1 2 3 6 9 13 18 19 26 38 39 57 78 114 117 169 171 179 234 247 338 342 358 494 507 537 741 1014 1074 1482 1521 1611 2223 2327 3042 3211 3222 3401 4446 4654 6422 6802 6981 9633 10203 13962 19266 20406 20943 28899 30251 30609 41886 44213 57798 60502 61218 88426 90753 132639 181506 265278 272259 397917 544518 574769 795834 1149538 1724307 3448614 5172921 10345842