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3363640 = 235741293
BaseRepresentation
bin1100110101001100111000
320022220001021
430311030320
51330114030
6200032224
740406350
oct14651470
96286037
103363640
111998175
121162674
1390a027
14637b60
1546697a
hex335338

3363640 has 64 divisors (see below), whose sum is σ = 8890560. Its totient is φ = 1121280.

The previous prime is 3363629. The next prime is 3363641. The reversal of 3363640 is 463633.

3363640 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 2×33636402 = 22628148099200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3363641) 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, 11334 + ... + 11626.

It is an arithmetic number, because the mean of its divisors is an integer number (138915).

Almost surely, 23363640 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 3363640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4445280).

3363640 is an abundant number, since it is smaller than the sum of its proper divisors (5526920).

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

3363640 is a wasteful number, since it uses less digits than its factorization.

3363640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 25.

The square root of 3363640 is about 1834.0229006204. The cubic root of 3363640 is about 149.8315145255.

The spelling of 3363640 in words is "three million, three hundred sixty-three thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 41 56 70 82 140 164 205 280 287 293 328 410 574 586 820 1148 1172 1435 1465 1640 2051 2296 2344 2870 2930 4102 5740 5860 8204 10255 11480 11720 12013 16408 20510 24026 41020 48052 60065 82040 84091 96104 120130 168182 240260 336364 420455 480520 672728 840910 1681820 3363640