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3140040 = 2335137191
BaseRepresentation
bin1011111110100111001000
312220112022210
423332213020
51300440130
6151145120
735455431
oct13764710
95815283
103140040
111855182
1210751a0
1385c317
145ba488
154205b0
hex2fe9c8

3140040 has 64 divisors (see below), whose sum is σ = 9538560. Its totient is φ = 826880.

The previous prime is 3139993. The next prime is 3140041. The reversal of 3140040 is 400413.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 3139998 and 3140025.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3140041) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 16345 + ... + 16535.

It is an arithmetic number, because the mean of its divisors is an integer number (149040).

Almost surely, 23140040 is an apocalyptic number.

3140040 is a gapful number since it is divisible by the number (30) 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 3140040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4769280).

3140040 is an abundant number, since it is smaller than the sum of its proper divisors (6398520).

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

3140040 is a wasteful number, since it uses less digits than its factorization.

3140040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 3140040 is about 1772.0158012840. The cubic root of 3140040 is about 146.4350568499.

Adding to 3140040 its reverse (400413), we get a palindrome (3540453).

The spelling of 3140040 in words is "three million, one hundred forty thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 137 191 274 382 411 548 573 685 764 822 955 1096 1146 1370 1528 1644 1910 2055 2292 2740 2865 3288 3820 4110 4584 5480 5730 7640 8220 11460 16440 22920 26167 52334 78501 104668 130835 157002 209336 261670 314004 392505 523340 628008 785010 1046680 1570020 3140040