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3380784 = 2431119337
BaseRepresentation
bin1100111001011000110000
320100202120020
430321120300
51331141114
6200243440
740510341
oct14713060
96322506
103380784
1119aa040
121170580
13914a84
146400c8
1546baa9
hex339630

3380784 has 80 divisors (see below), whose sum is σ = 10058880. Its totient is φ = 967680.

The previous prime is 3380779. The next prime is 3380809. The reversal of 3380784 is 4870833.

It is a super-2 number, since 2×33807842 = 22859400909312, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9864 + ... + 10200.

It is an arithmetic number, because the mean of its divisors is an integer number (125736).

Almost surely, 23380784 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 3380784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5029440).

3380784 is an abundant number, since it is smaller than the sum of its proper divisors (6678096).

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

3380784 is a wasteful number, since it uses less digits than its factorization.

3380784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 3380784 is about 1838.6908386132. The cubic root of 3380784 is about 150.0856399849.

The spelling of 3380784 in words is "three million, three hundred eighty thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 33 38 44 48 57 66 76 88 114 132 152 176 209 228 264 304 337 418 456 528 627 674 836 912 1011 1254 1348 1672 2022 2508 2696 3344 3707 4044 5016 5392 6403 7414 8088 10032 11121 12806 14828 16176 19209 22242 25612 29656 38418 44484 51224 59312 70433 76836 88968 102448 140866 153672 177936 211299 281732 307344 422598 563464 845196 1126928 1690392 3380784