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3140928 = 263271941
BaseRepresentation
bin1011111110110101000000
312220120112200
423332311000
51301002203
6151153200
735461140
oct13766500
95816480
103140928
11185590a
121075800
1385c84b
145ba920
154209a3
hex2fed40

3140928 has 168 divisors, whose sum is σ = 11094720. Its totient is φ = 829440.

The previous prime is 3140911. The next prime is 3140933. The reversal of 3140928 is 8290413.

It is a tau number, because it is divible by the number of its divisors (168).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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, 76588 + ... + 76628.

It is an arithmetic number, because the mean of its divisors is an integer number (66040).

Almost surely, 23140928 is an apocalyptic number.

3140928 is a gapful number since it is divisible by the number (38) 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 3140928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5547360).

3140928 is an abundant number, since it is smaller than the sum of its proper divisors (7953792).

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

3140928 is a wasteful number, since it uses less digits than its factorization.

3140928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 3140928 is about 1772.2663456716. The cubic root of 3140928 is about 146.4488594421.

The spelling of 3140928 in words is "three million, one hundred forty thousand, nine hundred twenty-eight".