[go: up one dir, main page]

Search a number
-
+
3366648 = 23321923107
BaseRepresentation
bin1100110101111011111000
320100001011200
430311323320
51330213043
6200054200
740421205
oct14657370
96301150
103366648
11199a45a
121164360
1390b4cc
14638cac
154677d3
hex335ef8

3366648 has 96 divisors (see below), whose sum is σ = 10108800. Its totient is φ = 1007424.

The previous prime is 3366647. The next prime is 3366659. The reversal of 3366648 is 8466633.

It is a super-2 number, since 2×33666482 = 22668637511808, which contains 22 as substring.

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

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

It is a d-powerful number, because it can be written as 34 + 38 + 6 + 68 + 68 + 44 + 83 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3366647) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31411 + ... + 31517.

It is an arithmetic number, because the mean of its divisors is an integer number (105300).

Almost surely, 23366648 is an apocalyptic number.

3366648 is a gapful number since it is divisible by the number (38) 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 3366648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5054400).

3366648 is an abundant number, since it is smaller than the sum of its proper divisors (6742152).

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

3366648 is a wasteful number, since it uses less digits than its factorization.

3366648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 154 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 3366648 is about 1834.8427725557. The cubic root of 3366648 is about 149.8761644599.

The spelling of 3366648 in words is "three million, three hundred sixty-six thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 19 23 24 36 38 46 57 69 72 76 92 107 114 138 152 171 184 207 214 228 276 321 342 414 428 437 456 552 642 684 828 856 874 963 1284 1311 1368 1656 1748 1926 2033 2461 2568 2622 3496 3852 3933 4066 4922 5244 6099 7383 7704 7866 8132 9844 10488 12198 14766 15732 16264 18297 19688 22149 24396 29532 31464 36594 44298 46759 48792 59064 73188 88596 93518 140277 146376 177192 187036 280554 374072 420831 561108 841662 1122216 1683324 3366648