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331313420 = 225731491523
BaseRepresentation
bin10011101111110…
…111000100001100
3212002102110120102
4103233313010030
51134304012140
652513110232
711132055224
oct2357670414
9762373512
10331313420
11160021749
1292b58378
1353842859
1432005084
151e146e15
hex13bf710c

331313420 has 48 divisors (see below), whose sum is σ = 710488800. Its totient is φ = 129747456.

The previous prime is 331313419. The next prime is 331313443. The reversal of 331313420 is 24313133.

331313420 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 331313392 and 331313401.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 216779 + ... + 218301.

It is an arithmetic number, because the mean of its divisors is an integer number (14801850).

Almost surely, 2331313420 is an apocalyptic number.

It is an amenable number.

331313420 is an abundant number, since it is smaller than the sum of its proper divisors (379175380).

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

331313420 is a wasteful number, since it uses less digits than its factorization.

331313420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1754 (or 1752 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

The square root of 331313420 is about 18202.0169212096. The cubic root of 331313420 is about 691.9579061568.

Adding to 331313420 its reverse (24313133), we get a palindrome (355626553).

The spelling of 331313420 in words is "three hundred thirty-one million, three hundred thirteen thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 73 146 149 292 298 365 596 730 745 1460 1490 1523 2980 3046 6092 7615 10877 15230 21754 30460 43508 54385 108770 111179 217540 222358 226927 444716 453854 555895 907708 1111790 1134635 2223580 2269270 4538540 16565671 33131342 66262684 82828355 165656710 331313420