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331410420 = 223351155793
BaseRepresentation
bin10011110000001…
…110101111110100
3212002121101122000
4103300032233310
51134320113140
652515135300
711132641065
oct2360165764
9762541560
10331410420
11160088610
1292ba4530
1353877a53
143202c56c
151e165a30
hex13c0ebf4

331410420 has 96 divisors (see below), whose sum is σ = 1124807040. Its totient is φ = 80340480.

The previous prime is 331410413. The next prime is 331410433. The reversal of 331410420 is 24014133.

331410420 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 (18).

It is a junction number, because it is equal to n+sod(n) for n = 331410393 and 331410402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21957 + ... + 33836.

It is an arithmetic number, because the mean of its divisors is an integer number (11716740).

Almost surely, 2331410420 is an apocalyptic number.

331410420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

331410420 is an abundant number, since it is smaller than the sum of its proper divisors (793396620).

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

331410420 is a wasteful number, since it uses less digits than its factorization.

331410420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55822 (or 55814 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 331410420 is about 18204.6812660920. The cubic root of 331410420 is about 692.0254286935.

Adding to 331410420 its reverse (24014133), we get a palindrome (355424553).

The spelling of 331410420 in words is "three hundred thirty-one million, four hundred ten thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 90 99 108 110 132 135 165 180 198 220 270 297 330 396 495 540 594 660 990 1188 1485 1980 2970 5940 55793 111586 167379 223172 278965 334758 502137 557930 613723 669516 836895 1004274 1115860 1227446 1506411 1673790 1841169 2008548 2454892 2510685 3012822 3068615 3347580 3682338 5021370 5523507 6025644 6137230 7364676 7532055 9205845 10042740 11047014 12274460 15064110 16570521 18411690 22094028 27617535 30128220 33141042 36823380 55235070 66282084 82852605 110470140 165705210 331410420