[go: up one dir, main page]

Search a number
-
+
3278340 = 2233513467
BaseRepresentation
bin1100100000011000000100
320011120001000
430200120010
51314401330
6154133300
736602562
oct14403004
96146030
103278340
11193a07a
121121230
138aa260
14614a32
1544b560
hex320604

3278340 has 96 divisors (see below), whose sum is σ = 11007360. Its totient is φ = 805248.

The previous prime is 3278339. The next prime is 3278347. The reversal of 3278340 is 438723.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3278347) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6787 + ... + 7253.

It is an arithmetic number, because the mean of its divisors is an integer number (114660).

Almost surely, 23278340 is an apocalyptic number.

3278340 is a gapful number since it is divisible by the number (30) 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 3278340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5503680).

3278340 is an abundant number, since it is smaller than the sum of its proper divisors (7729020).

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

3278340 is a wasteful number, since it uses less digits than its factorization.

3278340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 3278340 is about 1810.6186787946. The cubic root of 3278340 is about 148.5541074129.

It can be divided in two parts, 32783 and 40, that added together give a palindrome (32823).

The spelling of 3278340 in words is "three million, two hundred seventy-eight thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 90 108 117 130 135 156 180 195 234 260 270 351 390 467 468 540 585 702 780 934 1170 1401 1404 1755 1868 2335 2340 2802 3510 4203 4670 5604 6071 7005 7020 8406 9340 12142 12609 14010 16812 18213 21015 24284 25218 28020 30355 36426 42030 50436 54639 60710 63045 72852 84060 91065 109278 121420 126090 163917 182130 218556 252180 273195 327834 364260 546390 655668 819585 1092780 1639170 3278340