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3313980 = 2233517192
BaseRepresentation
bin1100101001000100111100
320020100221000
430221010330
51322021410
6155010300
740111515
oct14510474
96210830
103313980
11196392a
121139990
138c0547
14623a0c
15456dc0
hex32913c

3313980 has 144 divisors (see below), whose sum is σ = 11521440. Its totient is φ = 787968.

The previous prime is 3313969. The next prime is 3313987. The reversal of 3313980 is 893133.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3313987) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 174411 + ... + 174429.

It is an arithmetic number, because the mean of its divisors is an integer number (80010).

Almost surely, 23313980 is an apocalyptic number.

3313980 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 3313980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5760720).

3313980 is an abundant number, since it is smaller than the sum of its proper divisors (8207460).

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

3313980 is a wasteful number, since it uses less digits than its factorization.

3313980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 3313980 is about 1820.4340141845. The cubic root of 3313980 is about 149.0904965017.

The spelling of 3313980 in words is "three million, three hundred thirteen thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 19 20 27 30 34 36 38 45 51 54 57 60 68 76 85 90 95 102 108 114 135 153 170 171 180 190 204 228 255 270 285 306 323 340 342 361 380 459 510 513 540 570 612 646 684 722 765 855 918 969 1020 1026 1083 1140 1292 1444 1530 1615 1710 1805 1836 1938 2052 2166 2295 2565 2907 3060 3230 3249 3420 3610 3876 4332 4590 4845 5130 5415 5814 6137 6460 6498 7220 8721 9180 9690 9747 10260 10830 11628 12274 12996 14535 16245 17442 18411 19380 19494 21660 24548 29070 30685 32490 34884 36822 38988 43605 48735 55233 58140 61370 64980 73644 87210 92055 97470 110466 122740 165699 174420 184110 194940 220932 276165 331398 368220 552330 662796 828495 1104660 1656990 3313980