Search a number
-
+
3313674 = 2327213172
BaseRepresentation
bin1100101001000000001010
320020100111200
430221000022
51322014144
6155005030
740110600
oct14510012
96210450
103313674
111963681
121139776
138c0370
14623870
15456c69
hex32900a

3313674 has 108 divisors (see below), whose sum is σ = 9554454. Its totient is φ = 822528.

The previous prime is 3313669. The next prime is 3313697. The reversal of 3313674 is 4763133.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 3038049 + 275625 = 1743^2 + 525^2 .

Its product of digits (4536) is a multiple of the sum of its prime divisors (42).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 194914 + ... + 194930.

Almost surely, 23313674 is an apocalyptic number.

3313674 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3313674, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4777227).

3313674 is an abundant number, since it is smaller than the sum of its proper divisors (6240780).

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

3313674 is a wasteful number, since it uses less digits than its factorization.

3313674 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 42 counting only the distinct ones).

The product of its digits is 4536, while the sum is 27.

The square root of 3313674 is about 1820.3499663526. The cubic root of 3313674 is about 149.0859075486.

It can be divided in two parts, 331 and 3674, that added together give a triangular number (4005 = T89).

The spelling of 3313674 in words is "three million, three hundred thirteen thousand, six hundred seventy-four".

Divisors: 1 2 3 6 7 9 13 14 17 18 21 26 34 39 42 49 51 63 78 91 98 102 117 119 126 147 153 182 221 234 238 273 289 294 306 357 441 442 546 578 637 663 714 819 833 867 882 1071 1274 1326 1547 1638 1666 1734 1911 1989 2023 2142 2499 2601 3094 3757 3822 3978 4046 4641 4998 5202 5733 6069 7497 7514 9282 10829 11271 11466 12138 13923 14161 14994 18207 21658 22542 26299 27846 28322 32487 33813 36414 42483 52598 64974 67626 78897 84966 97461 127449 157794 184093 194922 236691 254898 368186 473382 552279 1104558 1656837 3313674