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3389040 = 24345523
BaseRepresentation
bin1100111011011001110000
320101011220000
430323121300
51331422130
6200350000
740543404
oct14733160
96334800
103389040
111a05266
121175300
13918765
14643104
1546e260
hex33b670

3389040 has 100 divisors (see below), whose sum is σ = 11793144. Its totient is φ = 902016.

The previous prime is 3389017. The next prime is 3389053. The reversal of 3389040 is 409833.

It is a super-2 number, since 2×33890402 = 22971184243200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 3388995 and 3389013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6219 + ... + 6741.

Almost surely, 23389040 is an apocalyptic number.

3389040 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 3389040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5896572).

3389040 is an abundant number, since it is smaller than the sum of its proper divisors (8404104).

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

3389040 is a wasteful number, since it uses less digits than its factorization.

3389040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 548 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 3389040 is about 1840.9345452786. The cubic root of 3389040 is about 150.2077122381.

It can be divided in two parts, 33890 and 40, that added together give a triangular number (33930 = T260).

The spelling of 3389040 in words is "three million, three hundred eighty-nine thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 270 324 360 405 432 523 540 648 720 810 1046 1080 1296 1569 1620 2092 2160 2615 3138 3240 4184 4707 5230 6276 6480 7845 8368 9414 10460 12552 14121 15690 18828 20920 23535 25104 28242 31380 37656 41840 42363 47070 56484 62760 70605 75312 84726 94140 112968 125520 141210 169452 188280 211815 225936 282420 338904 376560 423630 564840 677808 847260 1129680 1694520 3389040