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331339120 = 2457678831
BaseRepresentation
bin10011101111111…
…101010101110000
3212002110202211021
4103233331111300
51134310322440
652513425224
711132223160
oct2357752560
9762422737
10331339120
11160039a92
1292b6b214
1353851468
14320105a0
151e14e84a
hex13bfd570

331339120 has 80 divisors (see below), whose sum is σ = 893657088. Its totient is φ = 111893760.

The previous prime is 331339087. The next prime is 331339133. The reversal of 331339120 is 21933133.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×3313391202 = 219571224884748800, which contains 22 as substring.

It is a congruent number.

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, 33105 + ... + 41935.

Almost surely, 2331339120 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 331339120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446828544).

331339120 is an abundant number, since it is smaller than the sum of its proper divisors (562317968).

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

331339120 is a wasteful number, since it uses less digits than its factorization.

331339120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8918 (or 8912 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 25.

The square root of 331339120 is about 18202.7228732407. The cubic root of 331339120 is about 691.9757974317.

The spelling of 331339120 in words is "three hundred thirty-one million, three hundred thirty-nine thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 67 70 80 112 134 140 268 280 335 469 536 560 670 938 1072 1340 1876 2345 2680 3752 4690 5360 7504 8831 9380 17662 18760 35324 37520 44155 61817 70648 88310 123634 141296 176620 247268 309085 353240 494536 591677 618170 706480 989072 1183354 1236340 2366708 2472680 2958385 4141739 4733416 4945360 5916770 8283478 9466832 11833540 16566956 20708695 23667080 33133912 41417390 47334160 66267824 82834780 165669560 331339120