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3140496 = 2432113193
BaseRepresentation
bin1011111110101110010000
312220112221200
423332232100
51300443441
6151151200
735456652
oct13765620
95815850
103140496
111855557
121075500
1385c5a8
145ba6d2
154207b6
hex2feb90

3140496 has 60 divisors (see below), whose sum is σ = 8912748. Its totient is φ = 1032192.

The previous prime is 3140447. The next prime is 3140507. The reversal of 3140496 is 6940413.

It can be written as a sum of positive squares in 2 ways, for example, as 318096 + 2822400 = 564^2 + 1680^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16176 + ... + 16368.

Almost surely, 23140496 is an apocalyptic number.

3140496 is a gapful number since it is divisible by the number (36) 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 3140496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4456374).

3140496 is an abundant number, since it is smaller than the sum of its proper divisors (5772252).

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

3140496 is a wasteful number, since it uses less digits than its factorization.

3140496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 3140496 is about 1772.1444636372. The cubic root of 3140496 is about 146.4421449925.

The spelling of 3140496 in words is "three million, one hundred forty thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 113 144 193 226 339 386 452 579 678 772 904 1017 1158 1356 1544 1737 1808 2034 2316 2712 3088 3474 4068 4632 5424 6948 8136 9264 13896 16272 21809 27792 43618 65427 87236 130854 174472 196281 261708 348944 392562 523416 785124 1046832 1570248 3140496