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3352980 = 2235294147
BaseRepresentation
bin1100110010100110010100
320022100102110
430302212110
51324243410
6155511020
740333311
oct14624624
96270373
103352980
111990164
121158470
13905217
14633d08
15463720
hex332994

3352980 has 96 divisors (see below), whose sum is σ = 10160640. Its totient is φ = 824320.

The previous prime is 3352969. The next prime is 3352981. The reversal of 3352980 is 892533.

It is a happy number.

It is a super-2 number, since 2×33529802 = 22484949760800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3352981) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71317 + ... + 71363.

It is an arithmetic number, because the mean of its divisors is an integer number (105840).

Almost surely, 23352980 is an apocalyptic number.

3352980 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 3352980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5080320).

3352980 is an abundant number, since it is smaller than the sum of its proper divisors (6807660).

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

3352980 is a wasteful number, since it uses less digits than its factorization.

3352980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 3352980 is about 1831.1144147759. The cubic root of 3352980 is about 149.6730657220.

The spelling of 3352980 in words is "three million, three hundred fifty-two thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 41 47 58 60 82 87 94 116 123 141 145 164 174 188 205 235 246 282 290 348 410 435 470 492 564 580 615 705 820 870 940 1189 1230 1363 1410 1740 1927 2378 2460 2726 2820 3567 3854 4089 4756 5452 5781 5945 6815 7134 7708 8178 9635 11562 11890 13630 14268 16356 17835 19270 20445 23124 23780 27260 28905 35670 38540 40890 55883 57810 71340 81780 111766 115620 167649 223532 279415 335298 558830 670596 838245 1117660 1676490 3352980