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10238328 = 2332532683
BaseRepresentation
bin100111000011…
…100101111000
3201021011100100
4213003211320
510110111303
61003235400
7153011232
oct47034570
921234310
1010238328
115863231
123518b60
1321761a9
141507252
15d738a3
hex9c3978

10238328 has 48 divisors (see below), whose sum is σ = 28262520. Its totient is φ = 3347136.

The previous prime is 10238309. The next prime is 10238357. The reversal of 10238328 is 82383201.

10238328 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2475 + ... + 5157.

Almost surely, 210238328 is an apocalyptic number.

10238328 is a gapful number since it is divisible by the number (18) 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 10238328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14131260).

10238328 is an abundant number, since it is smaller than the sum of its proper divisors (18024192).

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

10238328 is a wasteful number, since it uses less digits than its factorization.

10238328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2748 (or 2741 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 10238328 is about 3199.7387393348. The cubic root of 10238328 is about 217.1415896576.

The spelling of 10238328 in words is "ten million, two hundred thirty-eight thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 53 72 106 159 212 318 424 477 636 954 1272 1908 2683 3816 5366 8049 10732 16098 21464 24147 32196 48294 64392 96588 142199 193176 284398 426597 568796 853194 1137592 1279791 1706388 2559582 3412776 5119164 10238328