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10738338 = 2313314441
BaseRepresentation
bin101000111101…
…101010100010
3202012120020020
4220331222202
510222111323
61022054310
7160163052
oct50755242
922176206
1010738338
116074966
12371a396
1322bc960
1415d7562
15e21ae3
hexa3daa2

10738338 has 32 divisors (see below), whose sum is σ = 23880192. Its totient is φ = 3196800.

The previous prime is 10738337. The next prime is 10738367. The reversal of 10738338 is 83383701.

10738338 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10738299 and 10738308.

It is not an unprimeable number, because it can be changed into a prime (10738333) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 198 + ... + 4638.

It is an arithmetic number, because the mean of its divisors is an integer number (746256).

Almost surely, 210738338 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10738338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11940096).

10738338 is an abundant number, since it is smaller than the sum of its proper divisors (13141854).

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

10738338 is a wasteful number, since it uses less digits than its factorization.

10738338 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4490.

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 10738338 is about 3276.9403412330. The cubic root of 10738338 is about 220.6204112981.

The spelling of 10738338 in words is "ten million, seven hundred thirty-eight thousand, three hundred thirty-eight".

Divisors: 1 2 3 6 13 26 31 39 62 78 93 186 403 806 1209 2418 4441 8882 13323 26646 57733 115466 137671 173199 275342 346398 413013 826026 1789723 3579446 5369169 10738338