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10349000 = 235379131
BaseRepresentation
bin100111011110…
…100111001000
3201110210011022
4213132213020
510122132000
61005452012
7153652004
oct47364710
921423138
1010349000
1159293a2
123571008
1321b468c
141535704
15d96585
hex9de9c8

10349000 has 64 divisors (see below), whose sum is σ = 24710400. Its totient is φ = 4056000.

The previous prime is 10348999. The next prime is 10349023. The reversal of 10349000 is 94301.

It is a self number, because there is not a number n which added to its sum of digits gives 10349000.

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, 78935 + ... + 79065.

It is an arithmetic number, because the mean of its divisors is an integer number (386100).

Almost surely, 210349000 is an apocalyptic number.

10349000 is a gapful number since it is divisible by the number (10) 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 10349000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12355200).

10349000 is an abundant number, since it is smaller than the sum of its proper divisors (14361400).

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

10349000 is a wasteful number, since it uses less digits than its factorization.

10349000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 10349000 is about 3216.9861672068. The cubic root of 10349000 is about 217.9211902654.

The spelling of 10349000 in words is "ten million, three hundred forty-nine thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 79 100 125 131 158 200 250 262 316 395 500 524 632 655 790 1000 1048 1310 1580 1975 2620 3160 3275 3950 5240 6550 7900 9875 10349 13100 15800 16375 19750 20698 26200 32750 39500 41396 51745 65500 79000 82792 103490 131000 206980 258725 413960 517450 1034900 1293625 2069800 2587250 5174500 10349000