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331140040 = 235721115359
BaseRepresentation
bin10011101111001…
…100101111001000
3212002002122201221
4103233030233020
51134232440130
652505251424
711130433600
oct2357145710
9762078657
10331140040
1115aa13460
1292a93b74
13537b196a
1431d9bc00
151e11087a
hex13bccbc8

331140040 has 96 divisors (see below), whose sum is σ = 945561600. Its totient is φ = 103205760.

The previous prime is 331140031. The next prime is 331140041. The reversal of 331140040 is 40041133.

It is a junction number, because it is equal to n+sod(n) for n = 331139996 and 331140023.

It is not an unprimeable number, because it can be changed into a prime (331140041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13881 + ... + 29239.

It is an arithmetic number, because the mean of its divisors is an integer number (9849600).

Almost surely, 2331140040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331140040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472780800).

331140040 is an abundant number, since it is smaller than the sum of its proper divisors (614421560).

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

331140040 is a wasteful number, since it uses less digits than its factorization.

331140040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15395 (or 15384 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 331140040 is about 18197.2536389423. The cubic root of 331140040 is about 691.8371820045.

Adding to 331140040 its reverse (40041133), we get a palindrome (371181173).

The spelling of 331140040 in words is "three hundred thirty-one million, one hundred forty thousand, forty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 49 55 56 70 77 88 98 110 140 154 196 220 245 280 308 385 392 440 490 539 616 770 980 1078 1540 1960 2156 2695 3080 4312 5390 10780 15359 21560 30718 61436 76795 107513 122872 153590 168949 215026 307180 337898 430052 537565 614360 675796 752591 844745 860104 1075130 1182643 1351592 1505182 1689490 2150260 2365286 3010364 3378980 3762955 4300520 4730572 5913215 6020728 6757960 7525910 8278501 9461144 11826430 15051820 16557002 23652860 30103640 33114004 41392505 47305720 66228008 82785010 165570020 331140040