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3310020 = 2232573771
BaseRepresentation
bin1100101000000111000100
320020011111100
430220013010
51321410040
6154540100
740064130
oct14500704
96204440
103310020
11196095a
121137630
138bb7bc
146223c0
15455b30
hex3281c4

3310020 has 144 divisors (see below), whose sum is σ = 11950848. Its totient is φ = 725760.

The previous prime is 3309997. The next prime is 3310049. The reversal of 3310020 is 200133.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 3309984 and 3310011.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46585 + ... + 46655.

It is an arithmetic number, because the mean of its divisors is an integer number (82992).

Almost surely, 23310020 is an apocalyptic number.

3310020 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 3310020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5975424).

3310020 is an abundant number, since it is smaller than the sum of its proper divisors (8640828).

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

3310020 is a wasteful number, since it uses less digits than its factorization.

3310020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 3310020 is about 1819.3460363548. The cubic root of 3310020 is about 149.0310882086.

Adding to 3310020 its reverse (200133), we get a palindrome (3510153).

The spelling of 3310020 in words is "three million, three hundred ten thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 37 42 45 60 63 70 71 74 84 90 105 111 126 140 142 148 180 185 210 213 222 252 259 284 315 333 355 370 420 426 444 497 518 555 630 639 666 710 740 777 852 994 1036 1065 1110 1260 1278 1295 1332 1420 1491 1554 1665 1988 2130 2220 2331 2485 2556 2590 2627 2982 3108 3195 3330 3885 4260 4473 4662 4970 5180 5254 5964 6390 6660 7455 7770 7881 8946 9324 9940 10508 11655 12780 13135 14910 15540 15762 17892 18389 22365 23310 23643 26270 29820 31524 36778 39405 44730 46620 47286 52540 55167 73556 78810 89460 91945 94572 110334 118215 157620 165501 183890 220668 236430 275835 331002 367780 472860 551670 662004 827505 1103340 1655010 3310020