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331345140 = 223573372341
BaseRepresentation
bin10011101111111…
…110110011110100
3212002111002002020
4103233332303310
51134311021030
652513513140
711132246550
oct2357766364
9762432066
10331345140
11160043565
1292b727b0
1353854119
1432012860
151e151510
hex13bfecf4

331345140 has 96 divisors (see below), whose sum is σ = 1063905024. Its totient is φ = 75479040.

The previous prime is 331345139. The next prime is 331345141. The reversal of 331345140 is 41543133.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (331345139) and next prime (331345141).

It is a self number, because there is not a number n which added to its sum of digits gives 331345140.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331345141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 140370 + ... + 142710.

It is an arithmetic number, because the mean of its divisors is an integer number (11082344).

Almost surely, 2331345140 is an apocalyptic number.

331345140 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 331345140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531952512).

331345140 is an abundant number, since it is smaller than the sum of its proper divisors (732559884).

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

331345140 is a wasteful number, since it uses less digits than its factorization.

331345140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2697 (or 2695 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 331345140 is about 18202.8882323658. Note that the first 3 decimals coincide. The cubic root of 331345140 is about 691.9799881724.

Adding to 331345140 its reverse (41543133), we get a palindrome (372888273).

The spelling of 331345140 in words is "three hundred thirty-one million, three hundred forty-five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 337 420 674 1011 1348 1685 2022 2341 2359 3370 4044 4682 4718 5055 6740 7023 7077 9364 9436 10110 11705 11795 14046 14154 16387 20220 23410 23590 28092 28308 32774 35115 35385 46820 47180 49161 65548 70230 70770 81935 98322 140460 141540 163870 196644 245805 327740 491610 788917 983220 1577834 2366751 3155668 3944585 4733502 5522419 7889170 9467004 11044838 11833755 15778340 16567257 22089676 23667510 27612095 33134514 47335020 55224190 66269028 82836285 110448380 165672570 331345140