Search a number
-
+
3383856 = 24347373
BaseRepresentation
bin1100111010001000110000
320100220210000
430322020300
51331240411
6200310000
740522320
oct14721060
96326700
103383856
111a01383
121172300
139162a8
14641280
1546c956
hex33a230

3383856 has 100 divisors (see below), whose sum is σ = 11222992. Its totient is φ = 964224.

The previous prime is 3383837. The next prime is 3383879. The reversal of 3383856 is 6583833.

It is a super-2 number, since 2×33838562 = 22900962857472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 3383856.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8886 + ... + 9258.

Almost surely, 23383856 is an apocalyptic number.

3383856 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3383856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5611496).

3383856 is an abundant number, since it is smaller than the sum of its proper divisors (7839136).

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

3383856 is a wasteful number, since it uses less digits than its factorization.

3383856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 385 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 3383856 is about 1839.5260259099. The cubic root of 3383856 is about 150.1310854107.

The spelling of 3383856 in words is "three million, three hundred eighty-three thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 81 84 108 112 126 144 162 168 189 216 252 324 336 373 378 432 504 567 648 746 756 1008 1119 1134 1296 1492 1512 2238 2268 2611 2984 3024 3357 4476 4536 5222 5968 6714 7833 8952 9072 10071 10444 13428 15666 17904 20142 20888 23499 26856 30213 31332 40284 41776 46998 53712 60426 62664 70497 80568 93996 120852 125328 140994 161136 187992 211491 241704 281988 375984 422982 483408 563976 845964 1127952 1691928 3383856