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3382368 = 253113203
BaseRepresentation
bin1100111001110001100000
320100211201220
430321301200
51331213433
6200255040
740515063
oct14716140
96324656
103382368
111a00250
121171480
13915702
146408da
1546c2b3
hex339c60

3382368 has 48 divisors (see below), whose sum is σ = 9688896. Its totient is φ = 1024640.

The previous prime is 3382367. The next prime is 3382373. The reversal of 3382368 is 8632833.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×33823682 = 22880826574848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3382367) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 546 + ... + 2657.

It is an arithmetic number, because the mean of its divisors is an integer number (201852).

Almost surely, 23382368 is an apocalyptic number.

It is an amenable number.

3382368 is an abundant number, since it is smaller than the sum of its proper divisors (6306528).

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

3382368 is a wasteful number, since it uses less digits than its factorization.

3382368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3227 (or 3219 counting only the distinct ones).

The product of its digits is 20736, while the sum is 33.

The square root of 3382368 is about 1839.1215294265. The cubic root of 3382368 is about 150.1090762189.

The spelling of 3382368 in words is "three million, three hundred eighty-two thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 3203 6406 9609 12812 19218 25624 35233 38436 51248 70466 76872 102496 105699 140932 153744 211398 281864 307488 422796 563728 845592 1127456 1691184 3382368