Search a number
-
+
10492344 = 2332433389
BaseRepresentation
bin101000000001…
…100110111000
3201202001210100
4220001212320
510141223334
61012515400
7155116632
oct50014670
921661710
1010492344
115a17065
12361bb60
1322349b5
141571a52
15dc3c99
hexa019b8

10492344 has 48 divisors (see below), whose sum is σ = 29086200. Its totient is φ = 3415104.

The previous prime is 10492343. The next prime is 10492379. The reversal of 10492344 is 44329401.

It is a super-2 number, since 2×104923442 = 220178565228672, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10492343) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1402 + ... + 4790.

Almost surely, 210492344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10492344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14543100).

10492344 is an abundant number, since it is smaller than the sum of its proper divisors (18593856).

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

10492344 is a wasteful number, since it uses less digits than its factorization.

10492344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3444 (or 3437 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 10492344 is about 3239.1887873355. The cubic root of 10492344 is about 218.9227224688.

The spelling of 10492344 in words is "ten million, four hundred ninety-two thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 43 72 86 129 172 258 344 387 516 774 1032 1548 3096 3389 6778 10167 13556 20334 27112 30501 40668 61002 81336 122004 145727 244008 291454 437181 582908 874362 1165816 1311543 1748724 2623086 3497448 5246172 10492344