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3355020 = 2234519109
BaseRepresentation
bin1100110011000110001100
320022110020000
430303012030
51324330040
6155524300
740342254
oct14630614
96273200
103355020
111991749
121159690
13906126
14634964
15464130
hex33318c

3355020 has 120 divisors (see below), whose sum is σ = 11180400. Its totient is φ = 839808.

The previous prime is 3355013. The next prime is 3355021. The reversal of 3355020 is 205533.

It is a super-2 number, since 2×33550202 = 22512318400800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 3354984 and 3355002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3355021) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 30726 + ... + 30834.

It is an arithmetic number, because the mean of its divisors is an integer number (93170).

Almost surely, 23355020 is an apocalyptic number.

3355020 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 3355020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5590200).

3355020 is an abundant number, since it is smaller than the sum of its proper divisors (7825380).

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

3355020 is a wasteful number, since it uses less digits than its factorization.

3355020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 18.

The square root of 3355020 is about 1831.6713679042. The cubic root of 3355020 is about 149.7034139647.

The spelling of 3355020 in words is "three million, three hundred fifty-five thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 27 30 36 38 45 54 57 60 76 81 90 95 108 109 114 135 162 171 180 190 218 228 270 285 324 327 342 380 405 436 513 540 545 570 654 684 810 855 981 1026 1090 1140 1308 1539 1620 1635 1710 1962 2052 2071 2180 2565 2943 3078 3270 3420 3924 4142 4905 5130 5886 6156 6213 6540 7695 8284 8829 9810 10260 10355 11772 12426 14715 15390 17658 18639 19620 20710 24852 29430 30780 31065 35316 37278 41420 44145 55917 58860 62130 74556 88290 93195 111834 124260 167751 176580 186390 223668 279585 335502 372780 559170 671004 838755 1118340 1677510 3355020