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3387420 = 223551741
BaseRepresentation
bin1100111011000000011100
320101002200000
430323000130
51331344140
6200334300
740535601
oct14730034
96332600
103387420
111a04023
121174390
13917aba
146426a8
1546da30
hex33b01c

3387420 has 144 divisors (see below), whose sum is σ = 11557728. Its totient is φ = 829440.

The previous prime is 3387413. The next prime is 3387421. The reversal of 3387420 is 247833.

It is a super-2 number, since 2×33874202 = 22949228512800, which contains 22 as substring.

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 (3387421) 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, 82600 + ... + 82640.

It is an arithmetic number, because the mean of its divisors is an integer number (80262).

Almost surely, 23387420 is an apocalyptic number.

3387420 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 3387420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5778864).

3387420 is an abundant number, since it is smaller than the sum of its proper divisors (8170308).

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

3387420 is a wasteful number, since it uses less digits than its factorization.

3387420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 3387420 is about 1840.4944987693. The cubic root of 3387420 is about 150.1837747536.

The spelling of 3387420 in words is "three million, three hundred eighty-seven thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 27 30 34 36 41 45 51 54 60 68 81 82 85 90 102 108 123 135 153 162 164 170 180 204 205 243 246 255 270 306 324 340 369 405 410 459 486 492 510 540 612 615 697 738 765 810 820 918 972 1020 1107 1215 1230 1377 1394 1476 1530 1620 1836 1845 2091 2214 2295 2430 2460 2754 2788 3060 3321 3485 3690 4131 4182 4428 4590 4860 5508 5535 6273 6642 6885 6970 7380 8262 8364 9180 9963 10455 11070 12546 13284 13770 13940 16524 16605 18819 19926 20655 20910 22140 25092 27540 31365 33210 37638 39852 41310 41820 49815 56457 62730 66420 75276 82620 94095 99630 112914 125460 169371 188190 199260 225828 282285 338742 376380 564570 677484 846855 1129140 1693710 3387420