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3366440 = 2357111093
BaseRepresentation
bin1100110101111000101000
320100000212222
430311320220
51330211230
6200053212
740420460
oct14657050
96300788
103366440
11199a290
121164208
1390b39c
14638ba0
154676e5
hex335e28

3366440 has 64 divisors (see below), whose sum is σ = 9452160. Its totient is φ = 1048320.

The previous prime is 3366437. The next prime is 3366449. The reversal of 3366440 is 446633.

3366440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×33664402 = 22665836547200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3366449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2534 + ... + 3626.

It is an arithmetic number, because the mean of its divisors is an integer number (147690).

Almost surely, 23366440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3366440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4726080).

3366440 is an abundant number, since it is smaller than the sum of its proper divisors (6085720).

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

3366440 is a wasteful number, since it uses less digits than its factorization.

3366440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1122 (or 1118 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

The square root of 3366440 is about 1834.7860910744. The cubic root of 3366440 is about 149.8730778205.

It can be divided in two parts, 336 and 6440, that added together give a palindrome (6776).

The spelling of 3366440 in words is "three million, three hundred sixty-six thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 140 154 220 280 308 385 440 616 770 1093 1540 2186 3080 4372 5465 7651 8744 10930 12023 15302 21860 24046 30604 38255 43720 48092 60115 61208 76510 84161 96184 120230 153020 168322 240460 306040 336644 420805 480920 673288 841610 1683220 3366440