Search a number
-
+
10349838 = 23217149227
BaseRepresentation
bin100111011110…
…110100001110
3201110211022100
4213132310032
510122143323
61005455530
7153654312
oct47366416
921424270
1010349838
115929a94
1235715a6
1321b4b85
141535b42
15d96943
hex9ded0e

10349838 has 48 divisors (see below), whose sum is σ = 24008400. Its totient is φ = 3211008.

The previous prime is 10349827. The next prime is 10349849. The reversal of 10349838 is 83894301.

It is an interprime number because it is at equal distance from previous prime (10349827) and next prime (10349849).

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45481 + ... + 45707.

It is an arithmetic number, because the mean of its divisors is an integer number (500175).

Almost surely, 210349838 is an apocalyptic number.

10349838 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10349838, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12004200).

10349838 is an abundant number, since it is smaller than the sum of its proper divisors (13658562).

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

10349838 is a wasteful number, since it uses less digits than its factorization.

10349838 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 10349838 is about 3217.1164107007. The cubic root of 10349838 is about 217.9270720906.

The spelling of 10349838 in words is "ten million, three hundred forty-nine thousand, eight hundred thirty-eight".

Divisors: 1 2 3 6 9 17 18 34 51 102 149 153 227 298 306 447 454 681 894 1341 1362 2043 2533 2682 3859 4086 5066 7599 7718 11577 15198 22797 23154 33823 34731 45594 67646 69462 101469 202938 304407 574991 608814 1149982 1724973 3449946 5174919 10349838