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3311940 = 2235172191
BaseRepresentation
bin1100101000100101000100
320020021010110
430220211010
51321440230
6154553020
740102542
oct14504504
96207113
103311940
111962345
121138770
138bc638
14622d92
154564b0
hex328944

3311940 has 72 divisors (see below), whose sum is σ = 9902592. Its totient is φ = 826880.

The previous prime is 3311933. The next prime is 3311941. The reversal of 3311940 is 491133.

3311940 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3311941) 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, 17245 + ... + 17435.

It is an arithmetic number, because the mean of its divisors is an integer number (137536).

Almost surely, 23311940 is an apocalyptic number.

3311940 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 3311940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4951296).

3311940 is an abundant number, since it is smaller than the sum of its proper divisors (6590652).

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

3311940 is a wasteful number, since it uses less digits than its factorization.

3311940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 3311940 is about 1819.8736219859. The cubic root of 3311940 is about 149.0598981434.

The spelling of 3311940 in words is "three million, three hundred eleven thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 191 204 255 289 340 382 510 573 578 764 867 955 1020 1146 1156 1445 1734 1910 2292 2865 2890 3247 3468 3820 4335 5730 5780 6494 8670 9741 11460 12988 16235 17340 19482 32470 38964 48705 55199 64940 97410 110398 165597 194820 220796 275995 331194 551990 662388 827985 1103980 1655970 3311940