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3366496 = 257219113
BaseRepresentation
bin1100110101111001100000
320100000222001
430311321200
51330211441
6200053344
740420600
oct14657140
96300861
103366496
11199a331
121164254
1390b413
14638c00
15467731
hex335e60

3366496 has 72 divisors (see below), whose sum is σ = 8187480. Its totient is φ = 1354752.

The previous prime is 3366463. The next prime is 3366497. The reversal of 3366496 is 6946633.

3366496 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 2×33664962 = 22666590636032, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3366497) 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 11 ways as a sum of consecutive naturals, for example, 29736 + ... + 29848.

It is an arithmetic number, because the mean of its divisors is an integer number (113715).

Almost surely, 23366496 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 3366496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4093740).

3366496 is an abundant number, since it is smaller than the sum of its proper divisors (4820984).

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

3366496 is a wasteful number, since it uses less digits than its factorization.

3366496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 141 counting only the distinct ones).

The product of its digits is 69984, while the sum is 37.

The square root of 3366496 is about 1834.8013516455. The cubic root of 3366496 is about 149.8739088513.

The spelling of 3366496 in words is "three million, three hundred sixty-six thousand, four hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 49 56 76 98 112 113 133 152 196 224 226 266 304 392 452 532 608 784 791 904 931 1064 1568 1582 1808 1862 2128 2147 3164 3616 3724 4256 4294 5537 6328 7448 8588 11074 12656 14896 15029 17176 22148 25312 29792 30058 34352 44296 60116 68704 88592 105203 120232 177184 210406 240464 420812 480928 841624 1683248 3366496